Sklyanin elliptic algebras
From MaRDI portal
Publication:749639
DOI10.1007/BF01079526zbMath0713.17009OpenAlexW2010662664MaRDI QIDQ749639
Alexander Odesskii, Boris L. Feigin
Publication date: 1989
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01079526
deformationrepresentationscentersquadratic algebraspolynomial algebraSklyanin algebraelliptic solutions of Yang-Baxter equations
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Yang-Baxter equations (16T25) Quadratic algebras (but not quadratic Jordan algebras) (17A45)
Related Items (41)
Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras ⋮ On algebraic values of function \(\exp (2\pi i x+\log \log y)\) ⋮ Graded Clifford Algebras of Prime Global Dimension with an Action ofHp ⋮ Difference operators of Sklyanin and van Diejen type. ⋮ Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings ⋮ Feigin-Odesskii brackets, syzygies, and Cremona transformations ⋮ Three dimensional Sklyanin algebras and Gröbner bases ⋮ Exotic elliptic algebras ⋮ Irreducible representations of quantum solvable algebras at roots of 1 ⋮ Painlevé VI, rigid tops and reflection equation ⋮ Poisson structures on loop spaces of \(\mathbb{C} P^n\) and an \(r\)-matrix associated with the universal elliptic curve ⋮ Shuffle algebra realizations of type \(A\) super Yangians and quantum affine superalgebras for all Cartan data ⋮ Elliptic bihamiltonian structures from relative shifted Poisson structures ⋮ Quantization and dynamisation of trace-Poisson brackets ⋮ Noncommutative curves and noncommutative surfaces ⋮ Integer solutions of integral inequalities and \(H\)-invariant Jacobian Poisson structures ⋮ Hitchin and Beauville-Mukai system: classical and quantum correspondence ⋮ Noncommutative elliptic Poisson structures on projective spaces ⋮ Quadratic algebras related to elliptic curves ⋮ Macdonald polynomials from Sklyanin algebras: A conceptual basis for the \(p\)-adics-quantum group connection ⋮ Regularity of Algebras Related to the Sklyanin Algebra ⋮ Representation Spaces of the Jordan Plane ⋮ Large commutative subalgebras of quantum algebras. ⋮ Ideal classes of three dimensional Artin-Schelter regular algebras. ⋮ Sklyanin algebras revisited ⋮ Recent developments on noncommutative motives ⋮ Shifted Poisson structures and moduli spaces of complexes ⋮ PBWD bases and shuffle algebra realizations for \(U_v(L\mathfrak{sl}_n)\), \(U_{v_1,v_2} (L\mathfrak{sl}_n)\), \(U_v (L\mathfrak{sl}(m|n))\) and their integral forms ⋮ Noncommutative finite dimensional manifolds. II: Moduli space and structure of noncommutative 3-spheres ⋮ A geometric invariant of 6-dimensional subspaces of 4×4 matrices ⋮ Quadratic algebras based on \(SL(NM)\) elliptic quantum \(R\)-matrices ⋮ Normalizing extensions of the two-Veronese of a three dimensional Artin-Schelter regular algebra on two generators ⋮ Constructing G-algebras ⋮ Multiplication kernels ⋮ On lower transcendence degree ⋮ Perverse sheaves of categories and some applications ⋮ Algebraic geometry of Poisson brackets ⋮ Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus ⋮ Toroidal and elliptic quiver BPS algebras and beyond ⋮ Hochschild dimension for graded algebras. ⋮ Quantization of canonical cones of algebraic curves.
Cites Work
This page was built for publication: Sklyanin elliptic algebras
