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.
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页码:103 / 116
页数:14
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