Canonical bases and standard monomials
1998 ◽
Vol 41
(3)
◽
pp. 611-623
Keyword(s):
Let U be the quantized enveloping algebra associated to a simple Lie algebra g by Drinfel'd and Jimbo. Let λ be a classical fundamental weight for g, and ⋯(λ) the irreducible, finite-dimensional type 1 highest weight U-module with highest weight λ. We show that the canonical basis for ⋯(λ) (see Kashiwara [6, §0] and Lusztig [18, 14.4.12]) and the standard monomial basis (see [11, §§2.4 and 2.5]) for ⋯(λ) coincide.
2003 ◽
Vol 6
◽
pp. 105-118
◽
2017 ◽
Vol 16
(03)
◽
pp. 1750053
◽
2009 ◽
Vol 52
(1)
◽
pp. 19-32
◽
Keyword(s):
2015 ◽
Vol 152
(2)
◽
pp. 299-326
◽
1985 ◽
Vol 37
(1)
◽
pp. 122-140
◽
Keyword(s):
2014 ◽
Vol 151
(1)
◽
pp. 121-166
◽
1985 ◽
Vol 37
(4)
◽
pp. 710-729
◽