Representations of quantum algebras and combinatorics of Young tableaux / Susumu Ariki.

Format:

Book

Author/Creator:

Ariki, Susumu, 1959-

Series:

University lecture series (Providence, R.I.) ; 26.

University Lecture Series, v. 26

Language:

English

Japanese

Subjects (All):

Representations of quantum groups.

Bases (Linear topological spaces).

Young tableaux.

Physical Description:

1 online resource (vii, 158 p.)

Place of Publication:

Providence, R.I. : American Mathematical Society, c2002.

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Introduction Chapter 2. The Serre relations Chapter 3. Kac-Moody Lie algebras Chapter 4. Crystal bases of $U_v$-modules Chapter 5. The tensor product of crystals Chapter 6. Crystal bases of $U_v^-$ Chapter 7. The canonical basis Chapter 8. Existence and uniqueness (part I) Chapter 9. Existence and uniqueness (part II) Chapter 10. The Hayashi realization Chapter 11. Description of the crystal graph of $V(\Lambda )$ Chapter 12. An overview of the application to Hecke algebras Chapter 13. The Hecke algebra of type $G(m,1,n)$ Chapter 14. The proof of Theorem 12.5 Chapter 15. Reference guide

Notes:

Includes bibliographical references (p. 149-155) and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Ariki, Susumu, 1959- Representations of quantum algebras and combinatorics of Young tableaux /

ISBN:

9781470418335 (online)

Access Restriction:

Restricted for use by site license.