Explicit coproduct formulas for quantum group of the type G2

被引:1
|
作者
Kharchenko, V. K. [1 ,2 ]
Vay, C. [1 ,2 ]
机构
[1] Univ Nacl Autonoma Mexico, Fac Estudios Super Cuautitlan, Primero Mayo S-N,Campo 1, Cuautitlan 54768, Edstado De Mexi, Mexico
[2] Univ Nacl Cordoba, CONICET, FAMAF CIEM, Medina Allegre S-N,Cuidad Univ, RA-5000 Cordoba, Argentina
关键词
Quantum group; Coproduct; PBW-basis; HOPF-ALGEBRAS; SUBALGEBRAS;
D O I
10.1016/j.jalgebra.2016.12.004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We find coproduct formulas in the explicit form for the PBW-generators of the two-parameter quantum group U(q)(+)q(g) where g is a simple Lie algebra of type G(2). The similar formulas for quantizations of simple Lie algebras of infinite series are already known. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:103 / 116
页数:14
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