Quantum character varieties
D Jordan - arXiv preprint arXiv:2309.06543, 2023 - arxiv.org
arXiv:2309.06543v1 [math.QA] 12 Sep 2023 Page 1 QUANTUM CHARACTER VARIETIES
DAVID JORDAN Abstract. In this survey article for the Encyclopedia of Mathematical Physics …
DAVID JORDAN Abstract. In this survey article for the Encyclopedia of Mathematical Physics …
The quantum Frobenius for character varieties and multiplicative quiver varieties
We prove that quantized multiplicative quiver varieties, quantum character varieties, and
Kauffman bracket skein algebras each define sheaves of Azumaya algebras over the …
Kauffman bracket skein algebras each define sheaves of Azumaya algebras over the …
The quantum Harish-Chandra isomorphism for GL
JJ Wen - arXiv preprint arXiv:2309.00823, 2023 - arxiv.org
arXiv:2309.00823v1 [math.QA] 2 Sep 2023 Page 1 THE QUANTUM HARISH-CHANDRA
ISOMORPHISM FOR GLn JOSHUA JEISHING WEN Abstract. We prove that for generic …
ISOMORPHISM FOR GLn JOSHUA JEISHING WEN Abstract. We prove that for generic …
Stated SL (nn)‐skein modules and algebras
TTQ Lê, AS Sikora - Journal of Topology, 2024 - Wiley Online Library
We develop a theory of stated SL (nn)‐skein modules, S n (M, N) S_n(M,N), of 3‐manifolds
MM marked with intervals NN in their boundaries. These skein modules, generalizing stated …
MM marked with intervals NN in their boundaries. These skein modules, generalizing stated …
Eigenvalues of quantum Gelfand invariants
We consider the quantum Gelfand invariants which first appeared in a landmark paper by
Reshetikhin et al.[Algebra Anal. 1 (1), 178–206 (1989)]. We calculate the eigenvalues of the …
Reshetikhin et al.[Algebra Anal. 1 (1), 178–206 (1989)]. We calculate the eigenvalues of the …
Representation theory of the reflection equation algebra I: A quantization of Sylvester's law of inertia
K De Commer, ST Moore - arXiv preprint arXiv:2404.03640, 2024 - arxiv.org
We prove a version of Sylvester's law of inertia for the Reflection Equation Algebra (= REA).
We will only be concerned with the REA constructed from the $ R $-matrix associated to the …
We will only be concerned with the REA constructed from the $ R $-matrix associated to the …
Harish-Chandra isomorphism for cyclotomic double affine Hecke algebras
JJ Wen - arXiv preprint arXiv:2407.07679, 2024 - arxiv.org
We confirm a conjecture of Braverman--Etingof--Finkelberg that the spherical subalgebra of
their cyclotomic double affine Hecke algebra (DAHA) is isomorphic to a quantized …
their cyclotomic double affine Hecke algebra (DAHA) is isomorphic to a quantized …
The Harish-Chandra isomorphism for quantum
M Balagovic, D Jordan - Journal of Noncommutative Geometry, 2018 - ems.press
We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian
reduction of the algebra Dq. GL2/of quantum differential operators on GL2, to the spherical …
reduction of the algebra Dq. GL2/of quantum differential operators on GL2, to the spherical …
The -immanants and higher quantum Capelli identities
We construct central elements of the quantized enveloping algebra ${\rm U} _q ({\mathfrak
{gl}} _n) $ parameterized by arbitrary Young diagrams, analogous to Okounkov's quantum …
{gl}} _n) $ parameterized by arbitrary Young diagrams, analogous to Okounkov's quantum …
Representation theory of the Reflection Equation Algebra II: Theory of shapes
K De Commer, ST Moore - arXiv preprint arXiv:2407.03613, 2024 - arxiv.org
We continue our study of the representations of the Reflection Equation Algebra (= REA) on
Hilbert spaces, focusing again on the REA constructed from the $ R $-matrix associated to …
Hilbert spaces, focusing again on the REA constructed from the $ R $-matrix associated to …