Typical irreducible characters of generalized quantum groups

Hiroyuki Yamane

doi:10.1142/S0219498821400144

Typical irreducible characters of generalized quantum groups

Hiroyuki Yamane^*

^*Corresponding author for this work

Program of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl-Kac-type formulas of their characters. As a by-product, we obtain the Weyl-Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.

Original language	English
Article number	2140014
Journal	Journal of Algebra and its Applications
Volume	20
Issue number	1
DOIs	https://doi.org/10.1142/S0219498821400144
State	Published - 2021/01

Keywords

Lie superalgebras
Nichols algebra
generalized quantum groups

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

Access to Document

10.1142/S0219498821400144

Cite this

@article{666c44202c0e46c4a3af65c5ff2af36c,

title = "Typical irreducible characters of generalized quantum groups",

abstract = "We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl-Kac-type formulas of their characters. As a by-product, we obtain the Weyl-Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.",

keywords = "Lie superalgebras, Nichols algebra, generalized quantum groups",

author = "Hiroyuki Yamane",

note = "Publisher Copyright: {\textcopyright} 2021 World Scientific Publishing Company.",

year = "2021",

month = jan,

doi = "10.1142/S0219498821400144",

language = "英語",

volume = "20",

journal = "Journal of Algebra and its Applications",

issn = "0219-4988",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "1",

}

TY - JOUR

T1 - Typical irreducible characters of generalized quantum groups

AU - Yamane, Hiroyuki

PY - 2021/1

Y1 - 2021/1

N2 - We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl-Kac-type formulas of their characters. As a by-product, we obtain the Weyl-Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.

AB - We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl-Kac-type formulas of their characters. As a by-product, we obtain the Weyl-Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.

KW - Lie superalgebras

KW - Nichols algebra

KW - generalized quantum groups

UR - http://www.scopus.com/inward/record.url?scp=85096013063&partnerID=8YFLogxK

U2 - 10.1142/S0219498821400144

DO - 10.1142/S0219498821400144

M3 - 学術論文

AN - SCOPUS:85096013063

SN - 0219-4988

VL - 20

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

IS - 1

M1 - 2140014

ER -

Typical irreducible characters of generalized quantum groups

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this