Affine flag varieties and quantum symmetric pairs
From MaRDI portal
Publication:5113923
DOI10.1090/memo/1285zbMath1452.17001arXiv1602.04383OpenAlexW3014845298MaRDI QIDQ5113923
Yiqiang Li, Zhaobing Fan, Weiqiang Wang, Li Luo, Chun-Ju Lai
Publication date: 19 June 2020
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.04383
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Linear algebraic groups over local fields and their integers (20G25)
Related Items
Categorification of quantum symmetric pairs. I ⋮ Equivariant K-theory approach to \(\imath\)-quantum groups ⋮ A Fock space model for decomposition numbers for quantum groups at roots of unity ⋮ Quasi-solvable lattice models for and Demazure atoms and characters ⋮ Braid group action and quasi-split affine 𝚤quantum groups I ⋮ Cells in modified \(\imath\)quantum groups of type AIII and related Schur algebras ⋮ Quantum symmetric pairs ⋮ Hall algebras and quantum symmetric pairs of Kac-Moody type ⋮ Finite Young wall model for representations of \(\imath\,\)quantum group \(\mathbf{U}^{\jmath}\) ⋮ Affine flag varieties and quantum symmetric pairs ⋮ Affine flag varieties and quantum symmetric pairs. II: Multiplication formula ⋮ MULTIPLICATION FORMULAS AND SEMISIMPLICITY FOR -SCHUR SUPERALGEBRAS ⋮ Representations of twisted Yangians of types B, C, D. II ⋮ Slim cyclotomic \(q\)-Schur algebras ⋮ On multiplication formulas of affine \(q\)-Schur algebras ⋮ Canonical bases arising from quantum symmetric pairs of Kac–Moody type ⋮ Multiplication formulas and isomorphism theorem of \({\imath}\)Schur superalgebras ⋮ Geometric Howe dualities of finite type ⋮ Quasi-split symmetric pairs of 𝑈(𝔰𝔩_{𝔫}) and Steinberg varieties of classical type ⋮ A REALIZATION OF THE ENVELOPING SUPERALGEBRA ⋮ THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE ⋮ Affine Hecke algebras and quantum symmetric pairs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum symmetric Kac-Moody pairs
- Monomial bases for quantum affine \(\mathfrak{sl}_n\)
- Geometric Schur duality of classical type
- A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Representations of Coxeter groups and Hecke algebras
- Hall algebras and quantum groups
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- The affine \(q\)-Schur algebra
- Crystal bases of modified quantized enveloping algebra
- Hyperoctahedral Schur algebras
- Cells in affine Weyl groups and tensor categories
- Hyperbolic localization of intersection cohomology
- Aperiodicity in quantum affine \(\mathfrak g\mathfrak l_n\)
- Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality
- Canonical bases arising from quantum symmetric pairs
- Universal K-matrix for quantum symmetric pairs
- Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
- Symmetric pairs for quantized enveloping algebras
- On the geometric realization of the inner product and canonical basis for quantum affine \(\mathfrak{sl}_n\)
- On the decomposition matrices of the quantized Schur algebra
- Affine flag varieties and quantum symmetric pairs. II: Multiplication formula
- Quantum affine algebras and affine Hecke algebras
- Quantum affine \(\mathfrak{gl}_n\) via Hecke algebras
- A geometric Schur-Weyl duality for quotients of affine Hecke algebras.
- On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
- Geometric Schur duality of classical type, II
- A Double Hall Algebra Approach to Affine Quantum Schur--Weyl Theory
- Quantum GLn
- Canonical Bases Arising from Quantized Enveloping Algebras
- The q ‐Schur Algebra
- q-Tensor Space and q-Weyl Modules
- Positivity VS Negativity of Canonical Bases
- Kazhdan-Lusztig theory of super type D and quantum symmetric pairs
- Hecke Algebras with Unequal Parameters
- The geometry of fixed point varieties on affine flag manifolds
- A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
- Affine flag varieties and quantum symmetric pairs
- The Integral Quantum Loop Algebra of $\mathfrak {gl}_{n}$
- An elementary construction of monomial bases of modified quantum affine gln
- Introduction to quantum groups
- Geometric construction of the global base of the quantum modified algebra of \(\hat{\mathfrak g}{\mathfrak l}_N\)