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11 papers · 1 filter
Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces
Guy Shtotland
We study the space of smooth functions on a symmetric space invariant to the action of an Iwahori subgroup , as a module over , the Iwahori He…
Congruence of matrix spaces, matrix tuples, and multilinear maps
Genrich R. Belitskii, Vyacheslav Futorny, Mikhail Muzychuk +1
Two matrix vector spaces are said to be equivalent if for some nonsingular and . These spaces are congruent if . We prove t…
The affine VW supercategory
Martina Balagovic, Zajj Daugherty, Inna Entova-Aizenbud +7
We define the affine VW supercategory , which arises from studying the action of the periplectic Lie superalgebra $\mathfrak{p}(…
Geometric interpretation of Murphy bases and an application
Uri Onn, Pooja Singla
In this article we study the representations of general linear groups which arise from their action on flag spaces. These representations can be decomposed into irreducibles by pro…
Congruence of multilinear forms
Genrich R. Belitskii, Vladimir V. Sergeichuk
It is known that if A and B are two n-by-n complex matrices and (A,A^T) is simultaneously equivalent to (B,B^T), then A is congruent to B. We extend this statement to multilinear f…
Canonical form of m-by-2-by-2 matrices over a field of characteristic other than two
Genrich Belitskii, Maxim Bershadsky, Vladimir V. Sergeichuk
We give a canonical form of m-by-2-by-2 matrices for equivalence over any field of characteristic not two.