EXTENDED QUANTUM ENVELOPING ALGEBRAS OF (2)
2009 ◽
Vol 51
(3)
◽
pp. 441-465
◽
Keyword(s):
AbstractIn present paper we define a new kind of quantized enveloping algebra of (2). We denote this algebra by Ur,t, where r, t are two non-negative integers. It is a non-commutative and non-cocommutative Hopf algebra. If r = 0, then the algebra Ur,t is isomorphic to a tensor product of the algebra of infinite cyclic group and the usual quantum enveloping algebra of (2) as Hopf algebras. The representation of this algebra is studied.
1982 ◽
Vol 91
(2)
◽
pp. 215-224
◽
1997 ◽
Vol 08
(07)
◽
pp. 959-997
◽
1995 ◽
Vol 10
(11)
◽
pp. 873-883
◽
1993 ◽
Vol 113
(1)
◽
pp. 45-70
◽
1981 ◽
Vol 89
(3)
◽
pp. 473-490
◽
Keyword(s):
Keyword(s):
2013 ◽
Vol 12
(06)
◽
pp. 1250224
2001 ◽
Vol 44
(1)
◽
pp. 19-26
◽
Keyword(s):
2003 ◽
Vol 6
◽
pp. 105-118
◽