TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS
2007 ◽
Vol 06
(03)
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pp. 477-503
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Keyword(s):
Let 𝕂 denote an algebraically closed field with characteristic 0, and let q denote a nonzero scalar in 𝕂 that is not a root of unity. Let 𝔸q denote the unital associative 𝕂-algebra defined by generators x,y and relations [Formula: see text] where [3]q = (q3 - q-3)/(q - q-1). We classify up to isomorphism the finite-dimensional irreducible 𝔸q-modules on which neither of x,y is nilpotent. We discuss how these modules are related to tridiagonal pairs.
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2013 ◽
Vol 89
(2)
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pp. 234-242
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2004 ◽
Vol 77
(1)
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pp. 123-128
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Keyword(s):
2010 ◽
Vol 09
(01)
◽
pp. 11-15
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Keyword(s):
Keyword(s):
2012 ◽
Vol 55
(2)
◽
pp. 271-284
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Keyword(s):