The quantum Frobenius for character varieties and multiplicative quiver varieties

I Ganev, D Jordan, P Safronov - Journal of the European Mathematical …, 2024 - ems.press
We prove that quantized multiplicative quiver varieties, quantum character varieties, and
Kauffman bracket skein algebras each define sheaves of Azumaya algebras over the …

[PDF][PDF] Noncommutative Algebra and Representation Theory: Symmetry, Structure & Invariants

SA Lopes - Communications in Mathematics, 2023 - cm.episciences.org
This is an abridged version of our Habilitation thesis. In these notes, we aim to summarize
our research interests and achievements as well as motivate what drives our work …

Weyl algebras for quantum homogeneous spaces

G Letzter, S Sahi, H Salmasian - Journal of Algebra, 2024 - Elsevier
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 …

Simple Modules and Azumaya Loci over the PI quantized Weyl Algebras

S Bera, S Mukherjee - arXiv preprint arXiv:2310.04048, 2023 - arxiv.org
arXiv:2310.04048v1 [math.RT] 6 Oct 2023 Page 1 arXiv:2310.04048v1 [math.RT] 6 Oct 2023
SIMPLE MODULES AND AZUMAYA LOCI OVER THE PI QUANTIZED WEYL ALGEBRAS SANU …

Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity

S Bera, S Mukherjee - Algebras and Representation Theory, 2024 - Springer
Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at Root of Unity Page
1 Algebras and Representation Theory https://doi.org/10.1007/s10468-023-10235-9 Dipper …

Dipper Donkin Quantized Matrix Algebra and Reflection Equation Algebra at root of unity

S Mukherjee, S Bera - arXiv preprint arXiv:2206.09580, 2022 - arxiv.org
arXiv:2206.09580v1 [math.QA] 20 Jun 2022 Page 1 arXiv:2206.09580v1 [math.QA] 20 Jun
2022 DIPPER DONKIN QUANTIZED MATRIX ALGEBRA AND REFLECTION EQUATION …

[引用][C] Simple modules over quantized Weyl algebras at roots of unity

S Mukherjee, S Bera - Journal of Algebra and Its Applications, 2024 - World Scientific
Simple modules over quantized weyl algebras at roots of unity Page 1 Accepted manuscript to
appear in JAA Accepted Manuscript Journal of Algebra and its Applications Article Title: Simple …