Manin Matrices for Quadratic Algebras
We give a general definition of Manin matrices for arbitrary quadratic algebras in terms of idempotents. We establish their main properties and give their interpretation in terms of category theory. The notion of minors is generalised for a general Manin matrix. We give some examples of Manin matric...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2021 |
| Main Author: | Silantyev, Alexey |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211357 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Manin Matrices for Quadratic Algebras. Alexey Silantyev. SIGMA 17 (2021), 066, 81 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
by: Rubtsov, V., et al.
Published: (2009)
by: Rubtsov, V., et al.
Published: (2009)
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
by: van der Kamp, Peter H.
Published: (2021)
by: van der Kamp, Peter H.
Published: (2021)
Convex extensions for the quadratic problems over permutation matrices
by: O. S. Pichugina, et al.
Published: (2016)
by: O. S. Pichugina, et al.
Published: (2016)
Contractions of Degenerate Quadratic Algebras, Abstract and Geometric
by: Escobar Ruiz, M.A., et al.
Published: (2017)
by: Escobar Ruiz, M.A., et al.
Published: (2017)
Finitely presented quadratic algebras of intermediate growth
by: Koçak, D.
Published: (2015)
by: Koçak, D.
Published: (2015)
Finitely presented quadratic algebras of~intermediate growth
by: Koçak, Dilber
Published: (2015)
by: Koçak, Dilber
Published: (2015)
Finitely presented quadratic algebras of intermediate growth
by: Koçak, D.
Published: (2015)
by: Koçak, D.
Published: (2015)
Finitely presented quadratic algebras of intermediate growth
by: D. Kocak
Published: (2015)
by: D. Kocak
Published: (2015)
Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
by: Kosakowska, Justyna
Published: (2018)
by: Kosakowska, Justyna
Published: (2018)
Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
by: Kosakowska, J.
Published: (2008)
by: Kosakowska, J.
Published: (2008)
Bôcher and Abstract Contractions of 2nd Order Quadratic Algebras
by: Escobar Ruiz, M.A., et al.
Published: (2017)
by: Escobar Ruiz, M.A., et al.
Published: (2017)
Quadratic Relations of the Deformed 𝑊-Algebra for the Twisted Affine Lie Algebra of Type 𝐴⁽²⁾₂N
by: Kojima, Takeo
Published: (2022)
by: Kojima, Takeo
Published: (2022)
Some (Hopf) algebraic properties of circulant matrices
by: Albuquerque, H., et al.
Published: (2012)
by: Albuquerque, H., et al.
Published: (2012)
Some (Hopf) algebraic properties of circulant matrices
by: Albuquerque, Helena, et al.
Published: (2018)
by: Albuquerque, Helena, et al.
Published: (2018)
Some (Hopf) algebraic properties of circulant matrices
by: H. Albuquerque, et al.
Published: (2012)
by: H. Albuquerque, et al.
Published: (2012)
Triangularization of a pair of matrices over a principal ideal domain with minimal quadratic polynomials
by: V. M. Prokip
Published: (2015)
by: V. M. Prokip
Published: (2015)
Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
by: Kalnins, E.G., et al.
Published: (2008)
by: Kalnins, E.G., et al.
Published: (2008)
Hybrid algorithms for solving the algebraic eigenvalue problem with sparse matrices
by: A. N. Khimich, et al.
Published: (2017)
by: A. N. Khimich, et al.
Published: (2017)
Zero Duality Gap in Quadratically Constrained Quadratic Programming
by: O. A. Berezovskij
Published: (2017)
by: O. A. Berezovskij
Published: (2017)
Gram matrices and Stirling numbers of a class of diagram algebras, I
by: Karimilla Bi, N., et al.
Published: (2018)
by: Karimilla Bi, N., et al.
Published: (2018)
Inner automorphisms of Lie algebras related with generic 2 × 2 matrices
by: Drensky, V., et al.
Published: (2012)
by: Drensky, V., et al.
Published: (2012)
Gram matrices and Stirling numbers of a class of diagram algebras, II
by: Karimilla Bi, N., et al.
Published: (2018)
by: Karimilla Bi, N., et al.
Published: (2018)
Inner automorphisms of Lie algebras related with generic 2 × 2 matrices
by: V. Drensky, et al.
Published: (2012)
by: V. Drensky, et al.
Published: (2012)
Gram matrices and Stirling numbers of a class of diagram algebras, II
by: Karimilla Bi, N., et al.
Published: (2018)
by: Karimilla Bi, N., et al.
Published: (2018)
The standard form of matrices over quadratic rings with respect to (z,k) -equivalence and structure of solutions of matrix bilateral linear equations
by: N. B. Ladzoryshyn, et al.
Published: (2018)
by: N. B. Ladzoryshyn, et al.
Published: (2018)
Structure Relations of Classical Orthogonal Polynomials in the Quadratic and q-Quadratic Variable
by: Kenfack Nangho, M., et al.
Published: (2018)
by: Kenfack Nangho, M., et al.
Published: (2018)
Inner automorphisms of Lie algebras related with generic \(2\times 2\) matrices
by: Drensky, Vesselin, et al.
Published: (2018)
by: Drensky, Vesselin, et al.
Published: (2018)
Asymptotic behavior of the products of random matrices with values on a solvable Lie algebra
by: Chani, A. S., et al.
Published: (1993)
by: Chani, A. S., et al.
Published: (1993)
Cellular algebras and Frobenius extensions arising from two-parameter permutation matrices
by: He, Houzhi, et al.
Published: (2025)
by: He, Houzhi, et al.
Published: (2025)
Quadratic systems with delay
by: I. A. Dzhalladova, et al.
Published: (2013)
by: I. A. Dzhalladova, et al.
Published: (2013)
On P-numbers of quadratic forms
by: Bondarenko, V.M., et al.
Published: (2009)
by: Bondarenko, V.M., et al.
Published: (2009)
Geometric interpretation of quadratic centers
by: Gaiko, V.A.
Published: (2003)
by: Gaiko, V.A.
Published: (2003)
Odd-quadratic Malcev superalgebras
by: Barreiro, E.
Published: (2010)
by: Barreiro, E.
Published: (2010)
Solving the quadratic assignment problem
by: I. V. Serhiienko, et al.
Published: (2020)
by: I. V. Serhiienko, et al.
Published: (2020)
Quadratic Varieties of Small Codimension
by: Watanabe, Kiwamu
Published: (2025)
by: Watanabe, Kiwamu
Published: (2025)
Theory of quadratic estimates of variance
by: Petunin, Yu. I., et al.
Published: (1999)
by: Petunin, Yu. I., et al.
Published: (1999)
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model
by: Marquette, Ian, et al.
Published: (2022)
by: Marquette, Ian, et al.
Published: (2022)
Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model
by: Marquette, Ian, et al.
Published: (2022)
by: Marquette, Ian, et al.
Published: (2022)
On types of local deformations of quadratic forms
by: Bondarenko, V.M.
Published: (2014)
by: Bondarenko, V.M.
Published: (2014)
On types of local deformations of quadratic forms
by: Bondarenko, Vitaliy M.
Published: (2018)
by: Bondarenko, Vitaliy M.
Published: (2018)
Similar Items
-
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
by: Rubtsov, V., et al.
Published: (2009) -
A New Class of Integrable Maps of the Plane: Manin Transformations with Involution Curves
by: van der Kamp, Peter H.
Published: (2021) -
Convex extensions for the quadratic problems over permutation matrices
by: O. S. Pichugina, et al.
Published: (2016) -
Contractions of Degenerate Quadratic Algebras, Abstract and Geometric
by: Escobar Ruiz, M.A., et al.
Published: (2017) -
Finitely presented quadratic algebras of intermediate growth
by: Koçak, D.
Published: (2015)