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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.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…