عنوان

Lie groups, geometry, and representation theory :

شابک

3030021912

شابک

9783030021917

شابک اشتباه

3030021904

شابک اشتباه

9783030021900

عنوان اصلي

Lie groups, geometry, and representation theory :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a tribute to the life and work of Bertram Kostant /

نام نخستين پديدآور

Victor G. Kac, Vladimir L. Popov, editors.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Birkhäuser,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

عنوان فروست

Progress in mathematics ;

مشخصه جلد

volume 326

متن يادداشت

2.1 Braided tensor categories and their Picard groups

متن يادداشت

Intro; Contents; A Tribute to Bertram Kostant; Poisson Structures and Potentials; 1 Introduction; 2 Positivity theory; 2.1 Algebraic tori and positive maps; 2.2 Tropicalization of positive maps; 2.3 Positive varieties; 3 Potentials; 4 Potentials on double Bruhat cells; 4.1 Semisimple groups; 4.2 Positive structures on double Bruhat cells; 4.3 Cluster variables on double Bruhat cells; 4.4 Weakly estimate-dominated functions on double Bruhat cells; 5 Positive Poisson varieties; 5.1 Definition of positive Poisson varieties; 5.2 Poisson algebraic groups; 5.3 The positive Poisson variety G*

متن يادداشت

4.6 Proof of (2) of Theorem 1.15 Application to W-algebras; 5.1 Background on W-algebras; 5.2 Restriction functor for HC-bimodules; 5.3 Results on finite-dimensional irreducible W-modules; 5.4 Reduction of representations mod p; 5.5 Proof of Theorem 5.2; 5.6 Proof of Corollary 5.3; 6 Application to real variation of stability conditions; References; Remarks on the Asymptotic Hecke Algebra; 1 Introduction and statement of the results; 1.1 Notation; 1.2 Matrix Paley-Wiener theorem; 1.4 Harish-Chandra algebra; 1.5 Tempered representations; 1.7 Asymptotic Hecke algebra; 1.10 An algebraic version

متن يادداشت

6 Tropicalization of Poisson structures6.1 Real forms of Poisson structures; 6.2 Real forms of positive Poisson varieties; 6.3 Partial tropicalization; 6.4 Partial tropicalization of K*; References; Quasi-lisse Vertex Algebras and Modular Linear Differential Equations; 1 Introduction; 2 Quasi-lisse vertex algebras; 3 A necessary condition for the quasi-lisse property; 4 Finiteness of ordinary representations; 5 Modular linear differential equations; 6 Examples of quasi-lisse vertex algebras; 7 The characters of affine vertex algebras associated with the Deligne exceptional series; References

متن يادداشت

On Dimension Growth of Modular Irreducible Representations of Semisimple Lie Algebras1 Introduction; 2 Preliminaries; 2.1 Harish-Chandra bimodules and primitive ideals; 2.2 Hecke algebras, cells, and HC-bimodules; 2.3 Localization in characteristic p; 3 Lengths; 3.1 Reduction of HC-bimodules to characteristic p; 3.2 Results on growth of lengths; 3.3 Lengths for HC-bimodules; 3.4 Lengths in characteristic p; 4 Proof of Theorem 1.1; 4.1 Proof of part (1) of Theorem 1.1; 4.2 Outline of the proof of (2) of Theorem 1.1; 4.3 Etingof's construction; 4.4 Proof of Proposition 4.2; 4.5 Degeneration map

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 - February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant's fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. This volume features the only published articles of important recent results of the contributors with full details of their proofs. Key topics include: Poisson structures and potentials (A. Alekseev, A. Berenstein, B. Hoffman) Vertex algebras (T. Arakawa, K. Kawasetsu) Modular irreducible representations of semisimple Lie algebras (R. Bezrukavnikov, I. Losev) Asymptotic Hecke algebras (A. Braverman, D. Kazhdan) Tensor categories and quantum groups (A. Davydov, P. Etingof, D. Nikshych) Nil-Hecke algebras and Whittaker D-modules (V. Ginzburg) Toeplitz operators (V. Guillemin, A. Uribe, Z. Wang) Kashiwara crystals (A. Joseph) Characters of highest weight modules (V. Kac, M. Wakimoto) Alcove polytopes (T. Lam, A. Postnikov) Representation theory of quantized Gieseker varieties (I. Losev) Generalized Bruhat cells and integrable systems (J.-H. Liu, Y. Mi) Almost characters (G. Lusztig) Verlinde formulas (E. Meinrenken) Dirac operator and equivariant index (P.-É. Paradan, M. Vergne) Modality of representations and geometry of?-groups (V.L. Popov) Distributions on homogeneous spaces (N. Ressayre) Reduction of orthogonal representations (J.-P. Serre).

شماره استاندارد بين المللي کتاب و موسيقي

9783030021900

موضوع مستند نشده

Lie groups.

موضوع مستند نشده

Representations of Lie groups.

موضوع مستند نشده

Differential Geometry.

موضوع مستند نشده

Group Theory and Generalizations.

موضوع مستند نشده

Polytopes.

موضوع مستند نشده

Topological Groups, Lie Groups.

موضوع مستند نشده

Lie groups.

موضوع مستند نشده

Representations of Lie groups.

موضوع مستند نشده

MAT014000

موضوع مستند نشده

PBG

موضوع مستند نشده

PBG

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Kac, Victor G.,1943-

مستند نام اشخاص تاييد نشده

Kostant, Bertram

مستند نام اشخاص تاييد نشده

Popov, V. L., (Vladimir Leonidovich)

تاريخ عمليات

20200823073928.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y