Canonical bases in tensor products.
From MaRDI portal
Publication:4021791
DOI10.1073/pnas.89.17.8177zbMath0760.17011OpenAlexW2053603290WikidataQ37182279 ScholiaQ37182279MaRDI QIDQ4021791
Publication date: 17 January 1993
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC49880
quantized enveloping algebratensor productcanonical basisintegrable highest weight modulequasi-\(R\)-matrix
Related Items (49)
A parameterization of the canonical bases of affine modified quantized enveloping algebras ⋮ Stability of 𝚤canonical bases of irreducible finite type of real rank one ⋮ On tensor product decomposition of positive representations of \(\mathcal{U}_{q\widetilde{q}}(\mathfrak{sl}(2,\mathbb{R}))\) ⋮ Canonical Bases of Modified Quantum Algebras for TypeA2-monomial Elements ⋮ Categorification of quantum symmetric pairs. I ⋮ A categorification of quantum \(\text{sl}(n)\) ⋮ Crystallized Peter-Weyl type decomposition for level 0 part of modified quantum algebra \(\tilde U_ q(\widehat{\mathfrak{sl}_ 2})_ 0\) ⋮ Canonical bases in tensor products and graphical calculus for \(U_ q(sl_ 2)\) ⋮ The exponential nature and positivity ⋮ Canonical bases of modified quantum algebras for type A2 ⋮ Canonical bases arising from quantum symmetric pairs ⋮ A geometric setting for quantum 𝔬𝔰𝔭(1|2) ⋮ Canonical bases for modified quantum \(\mathfrak{gl}_n\) and \(q\)-Schur algebras ⋮ The quantum group U̇ and flag manifolds over the semifield Z ⋮ Geometry of canonical bases and mirror symmetry ⋮ \(\imath\)Schur duality and Kazhdan-Lusztig basis expanded ⋮ Quantum symmetric pairs ⋮ The tensor product of representations of \(U_q(\mathfrak{sl}_2)\) via quivers ⋮ Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs ⋮ Cellular bases of generalised q-Schur algebras ⋮ Three kinds of extremal weight vectors fixed by a diagram automorphism ⋮ Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras ⋮ Representations of quantized coordinate algebras via PBW-type elements ⋮ The comultiplication of modified quantum affine 𝔰𝔩n ⋮ Quantum supergroups. IV: The modified form ⋮ Existence of Kirillov-Reshetikhin crystals for near adjoint nodes in exceptional types ⋮ Tensor product varieties, perverse sheaves, and stability conditions ⋮ Unnamed Item ⋮ From dimers to webs ⋮ Trace as an alternative decategorification functor ⋮ Canonical bases for tensor products and super Kazhdan-Lusztig theory ⋮ Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\) ⋮ Global crystal bases of quantum groups ⋮ Crystal bases of modified quantized enveloping algebras and a double RSK correspondence ⋮ Canonical bases and higher representation theory ⋮ Global IC bases for quantum linear groups ⋮ Newton-Okounkov bodies for Bott-Samelson varieties and string polytopes for generalized Demazure modules ⋮ BMW algebra, quantized coordinate algebra and type 𝐶 Schur–Weyl duality ⋮ Differential operators and crystals of extremal weight modules ⋮ Canonical bases and quantum coordinate algebras ⋮ Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A ⋮ Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Rank 2 ⋮ On semigroups arising from quantum groups ⋮ Canonical bases arising from quantum symmetric pairs of Kac–Moody type ⋮ Frobenius splitting of Schubert varieties of semi-infinite flag manifolds ⋮ Monoidal categorification of cluster algebras ⋮ Polyhedral realizations of crystal bases for quantum algebras of finite types ⋮ Crystal base elements of an extremal weight module fixed by a diagram automorphism ⋮ Crystal bases of modified quantized enveloping algebra
This page was built for publication: Canonical bases in tensor products.