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math.RT2004★ 1 cited
Standard Bases for Affine SL(n)-Modules
V. Kreiman, V. Lakshmibai, P. Magyar +1
We give an elementary and easily computable basis for the Demazure modules in the basic representation of the affine Lie algebra sl(n)-hat (and the loop group SL(n)-hat). A novel f…
math.RT2003
Littelmann paths for the basic representation of an affine Lie algebra
Peter Magyar
We give a new model for the crystal graphs of an affine Lie algebra g^, combining Littelmann's path model with the Kyoto path model. The vertices of the crystal graph are represent…
math.RT2002
Bruhat order for two flags and a line
Peter Magyar
The classical Ehresmann-Bruhat order describes the possible degenerations of a pair of flags in a linear space V under linear transformations of V; or equivalently, it describes th…