Constructing canonical bases of quantized enveloping algebras.
de Graaf, Willem A. (2002)
Experimental Mathematics
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de Graaf, Willem A. (2002)
Experimental Mathematics
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Mirko Primc (2013)
Open Mathematics
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We construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B 2(1) consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for Feigin-Stoyanovsky type subspaces W(Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W(kΛ0) for B 2(1) and the integrable highest weight module L(kΛ0) for A 1(1) have the same parametrization of combinatorial...
Peter Franek (2006)
Archivum Mathematicum
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In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the -th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables.
I. G. MacDonald (1980-1981)
Séminaire Bourbaki
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Adamović, Dražen (2003)
International Journal of Mathematics and Mathematical Sciences
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Molev, A. I.
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