Remarks on quantum symmetric algebras

DOI10.1016/j.jalgebra.2013.08.031zbMath1351.17016arXiv1206.1614OpenAlexW2963620182MaRDI QIDQ405892

Matthew Tucker-Simmons, Alexandru Chirvasitu

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1614

zbMATH Keywords

coboundary categoryquantum exterior algebrasquantum symmetric algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (5)

Dolbeault-Dirac operators, quantum Clifford algebras and the Parthasarathy formula ⋮ On skein relations in class S theories ⋮ Braided Rota–Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras ⋮ On the Dolbeault-Dirac operators on quantum projective spaces ⋮ Kähler structures on quantum irreducible flag manifolds

Cites Work

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• De Rham complex for quantized irreducible flag manifolds
• \(R\)-matrix Poisson algebras and their deformations
• The crystal commutor and Drinfeld's unitarized \(R\)-matrix
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• A \({\mathcal U}_ q(\mathfrak{sl}(2))\)-representation with no quantum symmetric algebra.
• Crystals and coboundary categories
• Braided symmetric and exterior algebras
• 𝐶* tensor categories from quantum groups
• The locally finite part of the dual coalgebra of quantized irreducible flag manifolds
• Introduction to quantum groups

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