A diagram algebra for Soergel modules corresponding to smooth Schubert varieties

DOI10.1090/tran/6346zbMath1377.17011arXiv1311.6968OpenAlexW1555701105MaRDI QIDQ2796510

Antonio Sartori

Publication date: 29 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6968

zbMATH Keywords

symmetric polynomialscategorificationgeneral linear Lie algebradiagram algebracategory \({\mathcal O}\)Serre categoryKhovanov algebraSoergel modules

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Grassmannians, Schubert varieties, flag manifolds (14M15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (4)

Categorification of tensor powers of the vector representation of \(U_q(\mathfrak{gl}(1| 1))\) ⋮ Strands algebras and the affine highest weight property for equivariant hypertoric categories ⋮ Ozsváth-Szabó bordered algebras and subquotients of category \(\mathcal{O} \) ⋮ Webs and $q$-Howe dualities in types $\mathbf {BCD}$

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