Hall algebras and quantum symmetric pairs
WebWe show that the quantum groups arising from Lusztig algebras and Schur algebras via stabilization procedures are (idempotented) coideal subalgebras of quantum groups of affine $\mathfrak {sl}$ and $\mathfrak {gl}$ types, respectively. In this way, we provide geometric realizations of eight quantum symmetric pairs of affine types. WebWe establish automorphisms with closed formulas on quasi-split $$\\imath $$ ı quantum groups of symmetric Kac-Moody type associated to restricted Weyl groups. The proofs are carried out in the framework of $$\\imath $$ ı Hall algebras and reflection functors, thanks to the $$\\imath $$ ı Hall algebra realization of $$\\imath $$ ı quantum groups in our …
Hall algebras and quantum symmetric pairs
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WebHALL ALGEBRAS AND QUANTUM SYMMETRIC PAIRS II 3 A conceptual approach of reinterpreting the BGP reflection functors in terms of tilting modules was developed by [APR79]. 1.1.2. Generalizing the Ringel-Green construction, Bridgeland [Br13] realized quantum groups U via Hall algebras of Z/2Z-graded complexes. His construction has … WebThe semi-derived Ringel-Hall algebras of the first author and Peng, which are closely related to semi-derived Hall algebras of Gorsky and motivated by Bridgeland's work, are extended to the setting of 1-Gorenstein algebras, as …
Webquantum symmetric pairs, and, via a categorificationtheorem, to highest weight mod-ules over an algebra introduced by Enomoto and Kashiwara. Our first main result is a ... [You20] , Representations of cohomological Hall algebras and Donaldson-Thomas theory with classical structure groups, Comm. Math. Phys. 380(2024), no. 1, 273–322. WebThe City of Fawn Creek is located in the State of Kansas. Find directions to Fawn Creek, browse local businesses, landmarks, get current traffic estimates, road conditions, and …
Web1.1.2. ıQuantum groups via ıHall algebras. As a quantization of symmetric pairs (g,g θ ), the quantum symmetric pairs (U,U ı ) were formulated by G. Letzter [Let99, Let02] (also cf. WebJan 23, 2024 · A new class of 1-Gorenstein algebras (called ı $\imath$ quiver algebras) arising from acyclic quivers with involutions is introduced. The semi-derived Ringel–Hall algebras for the Dynkin ı $\imath$ quiver algebras are shown to be isomorphic to the universal quasi-split ı $\imath$ quantum groups of finite type. Monomial bases and PBW …
WebA quantum symmetric pair consists of a quantum group U and its coideal subalgebra Uıς with parameters ς (called an ıquantum group). We initiate a Hall algebra approach for the categorification of ıquantum groups. A universal ıquantum group ˜Uı is introduced and Uıς is recovered by a central reduction of ˜Uı. The modified Ringel-Hall algebras of the first …
WebJan 23, 2024 · A new class of 1-Gorenstein algebras (called ı $\imath$ quiver algebras) arising from acyclic quivers with involutions is introduced. The semi-derived Ringel–Hall … can you block a *67 numberWebApr 19, 2024 · The goal of this paper is to develop systematically a theory of canonical basis for quantum symmetric pairs of arbitrary finite type. Actually several main constructions of this paper work in the Kac–Moody generality, though we shall assume the QSPs are of finite type throughout the paper unless otherwise specified. briewer puppy for sale near meWebFeb 1, 2024 · Quantum groups, quantum symmetric pairs, and canonical bases; Hecke algebras: finite, affine, and degenerate/spin variants ... Hall algebras and quantum symmetric pairs of Kac-Moody type; ıHall algebras and ıquantum groups; Contact. Content. WEIQIANG WANG [email protected] 434-924-4946 can you blink in sleep paralysisWebMontgomery County, Kansas. Date Established: February 26, 1867. Date Organized: Location: County Seat: Independence. Origin of Name: In honor of Gen. Richard … brie walker forward in adrian flattWebPub Date: October 2024 arXiv: arXiv:1910.01263 Bibcode: 2024arXiv191001263L Keywords: Mathematics - Representation Theory; Mathematics - Algebraic Geometry can you block acrylic yarnWebOct 6, 2024 · arising from the quantum symmetric pair of split affine type ADE in its Drinfeld type pre- sentation. The ı Hall algebra of the ı quiver algebra of split affine type … can you block a credit card chargeWebJ. Algebra 619 (2024), 221--248. arXiv:2204.01051. Load More. Quantum groups, quantum symmetric pairs, and canonical bases. Hecke algebras: finite, affine, and degenerate/spin variants. (Spin) symmetric groups and algebraic q-combinatorics. Infinite-dimensional Lie algebras and vertex algebras. can you block a device from wifi