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20052026
most citedUnitary representations of nilpotent super Lie groups

25 citations · 63 across the 32 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.QA2022★ 3 cited

Weyl algebras for quantum homogeneous spaces

Gail Letzter, Siddhartha Sahi, Hadi Salmasian

We present a new family of quantum Weyl algebras where the polynomial part is the quantum analog of functions on homogeneous spaces corresponding to symmetric matrices, skew symmet…

math.QA2022★ 3 cited

The Capelli eigenvalue problem for quantum groups

Gail Letzter, Siddhartha Sahi, Hadi Salmasian

We introduce and study quantum Capelli operators inside newly constructed quantum Weyl algebras associated to three families of symmetric pairs. Both the center of a particular qua…

math.RT2022

Classification and double commutant property for dual pairs in an orthosymplectic Lie supergroup

Allan Merino, Hadi Salmasian

In this paper, we obtain a full classification of reductive dual pairs in a, real or complex, Lie superalgebra and Lie supergroup . Moreover, b…

math.QA2022★ 2 cited

Quantized Weyl algebras, the double centralizer property, and a new First Fundamental Theorem for

Gail Letzter, Siddhartha Sahi, Hadi Salmasian

Let denote the quantized coordinate ring of the space of matrices, equipped with natural actions of the quantized enveloping algebr…

math.GR2022

Polynomiality of the faithful dimension of nilpotent groups over finite truncated valuation rings

Mohammad Bardestani, Keivan Mallahi-Karai, Dzmitry Rumiantsau +1

The faithful dimension of a finite group over , denoted by , is the smallest integer such that can be embedde…