Opening book details…
Can I read Finite Dimensional Algebras and Quantum Groups (Mathematical Surveys and Monographs) on EtoBox?
Finite Dimensional Algebras and Quantum Groups (Mathematical Surveys and Monographs) by Bangming Deng, Jie Du, Brian Parshall, and Jianpan Wang, Bangming Deng, Jie Du, Brian Parshall, Bangming Deng ... [et al.] is a nonfiction available to read on EtoBox.
What is Finite Dimensional Algebras and Quantum Groups (Mathematical Surveys and Monographs) about?
\"The interplay between finite dimensional algebras and Lie theory dates back many years. In more recent times, these interrelations have become even more strikingly apparent. This text combines, for the first time in book form, the theories of finite dimensional algebras and quantum groups. More precisely, it investigates the Ringel-Hall algebra realization for the positive part of a quantum enveloping algebra associated with a symmetrizable Cartan matrix and it looks closely at the Beilinson-Lusztig-MacPherson realization for the entire quantum $mathfrak{gl}_n$. The book begins with the two realizations of generalized Cartan matrices, namely, the graph realization and the root datum realization. From there, it develops the representation theory of quivers with automorphisms and the theory of quantum enveloping algebras associated with Kac-Moody Lie algebras. These two independent theories eventually meet in Part 4, under the umbrella of Ringel-Hall algebras. Cartan matrices can also be used to define an important class of groups--Coxeter groups--and their associated Hecke algebras. Hecke algebras associated with symmetric groups give rise to an interesting class of quasi-heredita
Who reads Finite Dimensional Algebras and Quantum Groups (Mathematical Surveys and Monographs)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Bangming Deng, Jie Du, Brian Parshall, and Jianpan Wang, Bangming Deng, Jie Du, Brian Parshall, Bangming Deng ... [et al.]
- Publisher
- the American Mathematical Society
- Published
- 2008
- Language
- EN
- ISBN
- 9780821841860
- Category
- nonfiction
- Subjects
- Mathematics, Algebra, Stem
More by Bangming Deng, Jie Du, Brian Parshall, and Jianpan Wang, Bangming Deng, Jie Du, Brian Parshall, Bangming Deng ... [et al.]
Similar books
- Quantum Groups in Two-Dimensional Physics (Cambridge Monographs on Mathematical Physics) — Cisar Gómez, Martm Ruiz-Altaba, German Sierra, César (1996)
- Introduction to Finite and Infinite Dimensional Lie (Super)algebras — Neelacanta Sthanumoorthy; Elsevier (Amsterdam).; Academic Press (Londyn) (2016)
- Infinite Dimensional Groups and Algebras in Quantum Physics (Lecture Notes in Physics Monographs) — Johnny T. Ottesen (auth.) (1995)
- Lie Algebras, Part 1: Finite and Infinite Dimensional Lie Algebras and Applications in Physics (Studies in Mathematical Physics) — E.A. de Kerf, G.G.A. Bäuerle (2010)
- Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences (77)) — A.I. Kostrikin, I.R. Shafarevich (2001)
- Characters of Connected Lie Groups (Mathematical Surveys and Monographs) — Lajos Pukánszky (1999)