Double-bosonization and majid's conjecture, (I): Rank-inductions of ABCD

Hongmei Hu; Naihong Hu

doi:10.1063/1.4935205

Double-bosonization and majid's conjecture, (I): Rank-inductions of ABCD

Hongmei Hu
, Naihong Hu^*

^*此作品的通讯作者

数学科学学院

School of Mathematical Sciences
University of Science and Technology of China
Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

Majid developed in [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)] the double-bosonization theory to construct U_q(g) and expected to generate inductively not just a line but a tree of quantum groups starting from a node. In this paper, the authors confirm Majid's first expectation (see p. 178 [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)]) through giving and verifying the full details of the inductive constructions ofU_q(g) for the classical types, i.e., the ABCD series. Some examples in low ranks are given to elucidate that any quantum group of classical type can be constructed from the node corresponding to U_q(sl2).

源语言	英语
期刊论文编号	111702
期刊	Journal of Mathematical Physics
卷	56
期	11
DOI	https://doi.org/10.1063/1.4935205
出版状态	已出版 - 1 11月 2015

访问文件

10.1063/1.4935205

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{8e6aa66a7b4944af98db91f29a7b20cb,

title = "Double-bosonization and majid's conjecture, (I): Rank-inductions of ABCD",

abstract = "Majid developed in [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)] the double-bosonization theory to construct Uq(g) and expected to generate inductively not just a line but a tree of quantum groups starting from a node. In this paper, the authors confirm Majid's first expectation (see p. 178 [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)]) through giving and verifying the full details of the inductive constructions ofUq(g) for the classical types, i.e., the ABCD series. Some examples in low ranks are given to elucidate that any quantum group of classical type can be constructed from the node corresponding to Uq(sl2).",

author = "Hongmei Hu and Naihong Hu",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.",

year = "2015",

month = nov,

day = "1",

doi = "10.1063/1.4935205",

language = "英语",

volume = "56",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "11",

}

TY - JOUR

T1 - Double-bosonization and majid's conjecture, (I)

T2 - Rank-inductions of ABCD

AU - Hu, Hongmei

AU - Hu, Naihong

PY - 2015/11/1

Y1 - 2015/11/1

N2 - Majid developed in [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)] the double-bosonization theory to construct Uq(g) and expected to generate inductively not just a line but a tree of quantum groups starting from a node. In this paper, the authors confirm Majid's first expectation (see p. 178 [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)]) through giving and verifying the full details of the inductive constructions ofUq(g) for the classical types, i.e., the ABCD series. Some examples in low ranks are given to elucidate that any quantum group of classical type can be constructed from the node corresponding to Uq(sl2).

AB - Majid developed in [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)] the double-bosonization theory to construct Uq(g) and expected to generate inductively not just a line but a tree of quantum groups starting from a node. In this paper, the authors confirm Majid's first expectation (see p. 178 [S. Majid, Math. Proc. Cambridge Philos. Soc. 125, 151-192 (1999)]) through giving and verifying the full details of the inductive constructions ofUq(g) for the classical types, i.e., the ABCD series. Some examples in low ranks are given to elucidate that any quantum group of classical type can be constructed from the node corresponding to Uq(sl2).

UR - https://www.scopus.com/pages/publications/84947465867

U2 - 10.1063/1.4935205

DO - 10.1063/1.4935205

M3 - 文章

AN - SCOPUS:84947465867

SN - 0022-2488

VL - 56

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 11

M1 - 111702

ER -

Double-bosonization and majid's conjecture, (I): Rank-inductions of ABCD

摘要

访问文件

其它文件与链接

学术指纹

引用此