Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D
Following the approach of Ding and Frenkel [Comm. Math. Phys. 156 (1993), 277-300] for type A, we showed in our previous work [J. Math. Phys. 61 (2020), 031701, 41 pages] that the Gauss decomposition of the generator matrix in the R-matrix presentation of the quantum affine algebra yields the Drinfe...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2020 |
| Main Authors: | Jing, Naihuan, Liu, Ming, Molev, Alexander |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210707 |
| 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: | Isomorphism between the R-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types B and D. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 043, 49 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
Representations of Quantum Affine Algebras in their -Matrix Realization
by: Jing, Naihuan, et al.
Published: (2020)
by: Jing, Naihuan, et al.
Published: (2020)
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method
by: Dubrovin, Boris, et al.
Published: (2022)
by: Dubrovin, Boris, et al.
Published: (2022)
-Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2)
by: Wu, Xianghua, et al.
Published: (2024)
by: Wu, Xianghua, et al.
Published: (2024)
Yetter–Drinfel’d Hopf algebras on basic cycle
by: Yanhua Wang, et al.
Published: (2014)
by: Yanhua Wang, et al.
Published: (2014)
A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra
by: Hopkins, M.J., et al.
Published: (2006)
by: Hopkins, M.J., et al.
Published: (2006)
Drinfeld J Presentation of Twisted Yangians
by: Belliard, S., et al.
Published: (2017)
by: Belliard, S., et al.
Published: (2017)
Yetter–Drinfel’d Hopf Algebras on Basic Cycle
by: Wang, Yanhua, et al.
Published: (2014)
by: Wang, Yanhua, et al.
Published: (2014)
Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras
by: Kobyzev, I., et al.
Published: (2018)
by: Kobyzev, I., et al.
Published: (2018)
On Isomorphism Between Certain Group Algebras on the Heisenberg Group
by: M. E. Egwe, et al.
Published: (2013)
by: M. E. Egwe, et al.
Published: (2013)
On Isomorphism Between Certain Group Algebras on the Heisenberg Group
by: Egwe, M.E., et al.
Published: (2013)
by: Egwe, M.E., et al.
Published: (2013)
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras
by: Kuniba, A., et al.
Published: (2009)
by: Kuniba, A., et al.
Published: (2009)
Realizations of affine Lie algebras
by: Futorny, Vyacheslav
Published: (2018)
by: Futorny, Vyacheslav
Published: (2018)
Realizations of affine Lie algebras
by: Futorny, V.
Published: (2005)
by: Futorny, V.
Published: (2005)
The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case
by: Koornwinder, T.H.
Published: (2007)
by: Koornwinder, T.H.
Published: (2007)
Twisted (2+1) κ-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
by: Ballesteros, A., et al.
Published: (2014)
by: Ballesteros, A., et al.
Published: (2014)
Induced Modules for Affine Lie Algebras
by: Futorny, V., et al.
Published: (2009)
by: Futorny, V., et al.
Published: (2009)
Elliptic Double Affine Hecke Algebras
by: Rains, Eric M.
Published: (2020)
by: Rains, Eric M.
Published: (2020)
Asymptotic Representations of Quantum Affine Superalgebras
by: Zhang, H.
Published: (2017)
by: Zhang, H.
Published: (2017)
Paths and Tableaux Descriptions of Jacobi-Trudi Determinant Associated with Quantum Affine Algebra of Type Cn
by: Nakai, W., et al.
Published: (2007)
by: Nakai, W., et al.
Published: (2007)
Quantum Representation of Affine Weyl Groups and Associated Quantum Curves
by: Moriyama, Sanefumi, et al.
Published: (2021)
by: Moriyama, Sanefumi, et al.
Published: (2021)
Mixed vs Stable Anti-Yetter-Drinfeld Contramodules
by: Shapiro, Ilya
Published: (2021)
by: Shapiro, Ilya
Published: (2021)
On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups
by: Danchev, P.
Published: (2006)
by: Danchev, P.
Published: (2006)
String Functions for Affine Lie Algebras Integrable Modules
by: Kulish, P., et al.
Published: (2008)
by: Kulish, P., et al.
Published: (2008)
The Vertex Algebra M(1)⁺ and Certain Affine Vertex Algebras of Level −1
by: Adamović, D., et al.
Published: (2012)
by: Adamović, D., et al.
Published: (2012)
Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N
by: Kojima, Takeo
Published: (2022)
by: Kojima, Takeo
Published: (2022)
Drinfeld-Sokolov Hierarchies, Tau Functions, and Generalized Schur Polynomials
by: Cafasso, M., et al.
Published: (2018)
by: Cafasso, M., et al.
Published: (2018)
Classification of Non-Affine Non-Hecke Dynamical R-Matrices
by: Avan, J., et al.
Published: (2012)
by: Avan, J., et al.
Published: (2012)
Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
by: Khongsap, T., et al.
Published: (2009)
by: Khongsap, T., et al.
Published: (2009)
Uncountably many non-isomorphic nilpotent real \(n\)-Lie algebras
by: Stitzinger, Ernest, et al.
Published: (2018)
by: Stitzinger, Ernest, et al.
Published: (2018)
Uncountably many non-isomorphic nilpotent real n-Lie algebras
by: Stitzinger, E., et al.
Published: (2006)
by: Stitzinger, E., et al.
Published: (2006)
Convergence, brought to life by analytical functionals, and isomorphism of analytical-function algebras
by: Petunin , Yu. I., et al.
Published: (1988)
by: Petunin , Yu. I., et al.
Published: (1988)
The General Case of an Isomorphism of Commutative Hypercomplex Number Systems and Presentation of Exponential Functions in Them
by: Kalinovsky, Ja. A., et al.
Published: (2012)
by: Kalinovsky, Ja. A., et al.
Published: (2012)
Efficient algorithms for solving equations of isomorphic hypercomplex digital systems with the help of presented exponents
by: Ja. A. Kalinovskij
Published: (2017)
by: Ja. A. Kalinovskij
Published: (2017)
Bethe Vectors of Quantum Integrable Models with GL(3) Trigonometric R-Matrix
by: Belliard, S., et al.
Published: (2013)
by: Belliard, S., et al.
Published: (2013)
Yangian of the Strange Lie Superalgebra of Qn₋₁ Type, Drinfel'd Approach
by: Stukopin, V.
Published: (2007)
by: Stukopin, V.
Published: (2007)
Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³
by: Korepanov, I.G.
Published: (2005)
by: Korepanov, I.G.
Published: (2005)
A contraction between Lie algebras with necessarily singular components of the contraction matrix
by: D. R. Popovych
Published: (2014)
by: D. R. Popovych
Published: (2014)
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
by: Nakanishi, T.
Published: (2012)
by: Nakanishi, T.
Published: (2012)
Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
by: Nakanishi, T.
Published: (2012)
by: Nakanishi, T.
Published: (2012)
Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups
by: Coquereaux, R., et al.
Published: (2013)
by: Coquereaux, R., et al.
Published: (2013)
Similar Items
-
Representations of Quantum Affine Algebras in their -Matrix Realization
by: Jing, Naihuan, et al.
Published: (2020) -
Affine Kac-Moody Algebras and Tau-Functions for the Drinfeld-Sokolov Hierarchies: the Matrix-Resolvent Method
by: Dubrovin, Boris, et al.
Published: (2022) -
-Matrix Presentation of Quantum Affine Superalgebra for Type (2 + 1|2)
by: Wu, Xianghua, et al.
Published: (2024) -
Yetter–Drinfel’d Hopf algebras on basic cycle
by: Yanhua Wang, et al.
Published: (2014) -
A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra
by: Hopkins, M.J., et al.
Published: (2006)