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Friday, July 17, 2020 | History

4 edition of Representations of algebraic groups, quantum groups and Lie algebras found in the catalog.

Representations of algebraic groups, quantum groups and Lie algebras

AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Goups, Quantum Groups, and Lie Algebras (2004 Snowbird, Utah)

Representations of algebraic groups, quantum groups and Lie algebras

AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah

by AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Goups, Quantum Groups, and Lie Algebras (2004 Snowbird, Utah)

  • 109 Want to read
  • 2 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Representations of groups -- Congresses,
  • Affine algebraic groups -- Congresses,
  • Quantum groups -- Congresses,
  • Lie algebras -- Congresses

  • Edition Notes

    Includes bibliographical references

    StatementGeorgia M. Benkart ... [et al.], editors
    GenreCongresses
    SeriesContemporary mathematics -- v. 413, Contemporary mathematics (American Mathematical Society) -- v. 413
    ContributionsBenkart, Georgia, 1949-
    Classifications
    LC ClassificationsQA176 .A47 2004
    The Physical Object
    Paginationxii, 254 p. :
    Number of Pages254
    ID Numbers
    Open LibraryOL15593236M
    ISBN 100821839241
    LC Control Number2006045952

    The book Lie Groups, Lie Algebras, and Representations – An Elementary Introduction from Brian Hall is a good book, as well. It doesn't read as good, but it seems to be nice as a reference book. It doesn't read as good, but it seems to be nice as a reference book. @article{osti_, title = {Introduction to quantized LIE groups and algebras}, author = {Tjin, T}, abstractNote = {In this paper, the authors give a self-contained introduction to the theory of quantum groups according to Drinfeld, highlighting the formal aspects as well as the applications to the Yang-Baxter equation and representation theory.

    Poisson-Lie groups we study their relation to Lie-bi algebras and the classical Yang-Baxter equation. Then we explain in detail the concept of quantization for them. As an example the quantization of sl2 is explicitly carried out. Next we show how quantum groups are related to the Yang-Baxter equation and how they can be used to solve it. By an algebraic group over R, we understand a functor G from the category of R-algebras into the category of groups such that there exists an R-algebra R[G] of finite type over R (i.e., R[G] is a quotient of a polynomial ring in finitely many variable over R) for which we Cited by: 2.

    The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations Brand: Springer International Publishing. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact.


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Representations of algebraic groups, quantum groups and Lie algebras by AMS-IMS-SIAM Joint Summer Research Conference, Representations of Algebraic Goups, Quantum Groups, and Lie Algebras (2004 Snowbird, Utah) Download PDF EPUB FB2

Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in Mathematics Book ) - Kindle edition by Hall, Brian. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in /5(16).

This book focuses on matrix Lie groups and Lie algebras, and their relations and representations. This makes things a bit simpler, and not much is lost, because most of the interesting Lie groups & algebras are (isomorphic to)groups & algebras of matrices/5(8).

The book contains several well-written, accessible survey papers in many interrelated areas of current research. These areas cover various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie superalgebras. Destination page number Search scope Search Text Search scope Search Text.

ple Lie algebras and their representations described. In Chapter II we apply the theory of Lie algebras to the study of algebraic groups in characteristic zero.

As Cartier () noted, the relation between Lie algebras and algebraic groups in characteristic zero is best understood through their categories of File Size: 1MB.

Representations of algebraic groups of Algebraic Groups, Quantum Groups, and Lie Algebras (Contemporary Mathematics) by Georgia Benkart, Jens C. Jantzen, Zongzhu Lin, Daniel K. Nakano, and Brian J. Parshall PDF, ePub eBook D0wnl0ad The book contains several well-written, accessible survey papers in many interrelated areas of current research.

This volume contains invited articles by top-notch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hecke algebras, modular or ordinary representations of finite reductive groups, and representations of complex reflection groups and.

The authors also desired their book to be as self-contained as possible. The interweaving of the deeper properties of Lie algebras and algebraic groups rests upon a vast base of algebra and geometry. The results needed are widely scattered, appearing in many different forms, having been introduced for many disparate purposes.

Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings.

MAA MathFest. Register Now; Registration Rates and Other Fees; Exhibitors and Sponsors; Abstracts; Mathematical Sessions. Invited Addresses; Invited Paper Sessions; Contributed Paper. ISBN: OCLC Number: Notes: "Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, held at the Snowbird Resort, Snowbird, UT, from July"--Title page verso.

22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx) 34B27 Green functions 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and.

Department of Mathematics. Department of Mathematics Aarhus University Ny Munkegade DK Aarhus C Denmark. E-mail: [email protected] Phone: +45 The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations /5(15).

Buy Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in Mathematics) 2nd ed.Corr. 2nd printing by Hall, Brian (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders/5(15). In Lie theory, exponential mapping between Lie groups and Lie algebras plays a crucial role.

Exponential mapping is the mechanism for passing information from Lie algebras to Lie groups. Intuitive meaning. The discovery of quantum groups was quite unexpected since it was known for a long time that compact groups and semisimple Lie algebras are "rigid" objects, in other words, they cannot be "deformed".

One of the ideas behind quantum groups is that if we consider a structure that is in a sense equivalent but larger, namely a group algebra or a universal enveloping algebra. From the reviews of the French edition "This is a rich and useful volume. The material it treats has relevance well beyond the theory of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a (B,N)-pair structure, or "Tits systems".

A historical note provides a survey of the contexts in which groups. I am reading some lie groups/lie algebras on my own. I am using Brian Hall's Lie Groups, Lie Algebras, and Representations: An Elementary Introduction. I was checking for some other references on lie groups and found J. Milne's notes Lie Algebras, Algebraic Groups,and Lie Groups.

It was written in introductory page of algebraic groups chapter that. Representations of Lie Algebras, Quantum Groups and Related Topics | Naihuan Jing, Kailash C.

Misra, Editors | download | B–OK. Download books for free. Find books. Formal definition. Let be a Lie algebra and let be a vector space. We let () denote the space of endomorphisms of, that is, the space of all linear maps of to itself.

We make () into a Lie algebra with bracket given by the commutator: [,] = ∘ − ∘ for all ρ,σ in ().Then a representation of on is a Lie algebra homomorphism: → (). Explicitly, this means that should be a linear map and.

Lie Algebras and three great papers of E.B. Dynkin. A listing of the references rules for representations. Although this is a book intended for physicists, this reason that we can learn most of what we need to know about Lie groups by studying the commutation relations of the generators (here, the T’s).

By direct. This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.

This book provides an introduction to Lie groups, Lie algebras, and repre sentation theory, aimed at graduate students in mathematics and physics. Although there are already several excellent books that cover many of the same topics, this book has two distinctive features that I hope will make it a useful addition to the literature.

First, it treats Lie groups (not just Lie alge bras) in a way.