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4 papers · 2 filters
Differential forms via the Bernstein-Gelfand-Gelfand resolution for quantized irreducible flag manifolds
I. Heckenberger, S. Kolb
The quantum group version of the Bernstein-Gelfand-Gelfand resolution is used to construct a double complex of U_q(g)-modules with exact rows and columns. The locally finite dual o…
On the Bernstein-Gelfand-Gelfand resolution for Kac-Moody algebras and quantized enveloping algebras
I. Heckenberger, S. Kolb
A Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras and arbitrary subsets of the set of simple roots is proven. Moreover, quantum group analogs of the Bernstein…
Demazure structure inside Kirillov-Reshetikhin crystals
Ghislain Fourier, Anne Schilling, Mark Shimozono
The conjecturally perfect Kirillov-Reshetikhin (KR) crystals are known to be isomorphic as classical crystals to certain Demazure subcrystals of crystal graphs of irreducible highe…
The center of quantum symmetric pair coideal subalgebras
S. Kolb, G. Letzter
The theory of quantum symmetric pairs as developed by the second author is based on coideal subalgebras of the quantized universal enveloping algebra for a semisimple Lie algebra.…