A primer on twists in the noncommutative realm focusing on algebra, representation theory, and geometry
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Publication:6607076
DOI10.1090/CONM/801/16011MaRDI QIDQ6607076
Pablo S. Ocal, K. Ueyama, Padmini P. Veerapen
Publication date: 17 September 2024
Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Deformations of associative rings (16S80) Hopf algebras, quantum groups and related topics (16T99)
Cites Work
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- On the classification of twisting maps between \(K^n\) and \(K^m\).
- Hochschild cohomology and homology of quantum complete intersections.
- \(G\)-algebras, twistings, and equivalences of graded categories.
- Frobenius and separable functors for generalized module categories and nonlinear equations
- Finite Hochschild cohomology without finite global dimension.
- Varieties for modules of quantum elementary Abelian groups.
- Double Ore extensions.
- Cohomology of twisted tensor products.
- Rank varieties for a class of finite-dimensional local algebras.
- Homology and cohomology of quantum complete intersections.
- Modules over regular algebras of dimension 3
- On graded rings. I
- Noncommutative projective schemes
- Methods of graded rings.
- Artin-Schelter regularity of twisted tensor products
- Resolutions for twisted tensor products
- The Koszul property for graded twisted tensor products
- On twisting of finite-dimensional Hopf algebras.
- Segre product of Artin-Schelter regular algebras of dimension 2 and embeddings in quantum \(\mathbb{P}^ 3\)'s
- Non commutative truncated polynomial extensions.
- Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
- Classification, Koszulity and Artin-Schelter regularity of certain graded twisted tensor products
- Twisted Segre products
- Hochschild cohomology of twisted tensor products
- Twisted tensor products of \(K^n\) with \(K^m\)
- On the Hochschild cohomology ring of tensor products of algebras.
- Free Hopf algebras generated by coalgebras
- Cocycle twists of algebras
- Twisted Planes
- Multiplication alteration by two-cocycles - the quantum version
- A NEW FAMILY OF POISSON ALGEBRAS AND THEIR DEFORMATIONS
- Hochschild cohomology of some quantum complete intersections
- Braided bialgebras and quadratic blalgebras
- On twisted tensor products of algebras
- Twisted Graded Algebras and Equivalences of Graded Categories
- Twisted tensor products of K3 with K3
- Graded Skew Clifford Algebras That Are Twists of Graded Clifford Algebras
- NON-COMMUTATIVE DUPLICATES OF FINITE SETS
- ON ITERATED TWISTED TENSOR PRODUCTS OF ALGEBRAS
- On the classification of graded twisted planes
- A dichotomy between twisted tensor products of bialgebras and Frobenius algebras
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