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Full-Text Articles in Algebra
On The Quantization Of Zero-Weight Super Dynamical R-Matrices, Gizem Karaali
On The Quantization Of Zero-Weight Super Dynamical R-Matrices, Gizem Karaali
Pomona Faculty Publications and Research
Solutions of the classical dynamical Yang-Baxter equation on a Lie superalgebra are called super dynamical r-matrices. A super dynamical r-matrix r satisfies the zero weight condition if
[h ⊗ 1 + 1 ⊗ h, r(λ)] = 0 for all h ∈ ɧ, λ ∈ ɧ ∗ .
In this paper we explicitly quantize zero-weight super dynamical r-matrices with zero coupling constant for the Lie superalgebra gl(m, n) . We also answer some questions about super dynamical R-matrices. In particular, we prove a classification theorem and offer some support for one particular …
Review: Massey Products On Cycles Of Projective Lines And Trigonometric Solutions Of The Yang-Baxter Equations, Gizem Karaali
Review: Massey Products On Cycles Of Projective Lines And Trigonometric Solutions Of The Yang-Baxter Equations, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: The Semi-Dynamical Reflection Equation: Solutions And Structure Matrices, Gizem Karaali
Review: The Semi-Dynamical Reflection Equation: Solutions And Structure Matrices, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Classification Of Quasi-Trigonometric Solutions Of The Classical Yang-Baxter Equation, Gizem Karaali
Review: Classification Of Quasi-Trigonometric Solutions Of The Classical Yang-Baxter Equation, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: A Class Of Solutions To The Quantum Colored Yang-Baxter Equation, Gizem Karaali
Review: A Class Of Solutions To The Quantum Colored Yang-Baxter Equation, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: On Quantum Yang-Baxter Coherent Algebra Sheaves, Gizem Karaali
Review: On Quantum Yang-Baxter Coherent Algebra Sheaves, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Dynamical Yang-Baxter Maps With An Invariance Condition, Gizem Karaali
Review: Dynamical Yang-Baxter Maps With An Invariance Condition, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Solutions For The Constant Quantum Yang-Baxter Equation From Lie (Super)Algebras, Gizem Karaali
Review: Solutions For The Constant Quantum Yang-Baxter Equation From Lie (Super)Algebras, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Review: Set-Theoretic Solutions Of The Yang-Baxter Equation, Graphs And Computations, Gizem Karaali
Review: Set-Theoretic Solutions Of The Yang-Baxter Equation, Graphs And Computations, Gizem Karaali
Pomona Faculty Publications and Research
No abstract provided.
Super Solutions Of The Dynamical Yang-Baxter Equation, Gizem Karaali
Super Solutions Of The Dynamical Yang-Baxter Equation, Gizem Karaali
Pomona Faculty Publications and Research
Solutions of the classical dynamical Yang-Baxter equation on a Lie superalgebra are called super dynamical r−matrices. A super dynamical r−matrix r satisfies the zero weight condition if
[h ⊗ 1 + 1 ⊗ h, r(λ)] = 0 for all h ∈ ɧ, λ ∈ ɧ ∗ .
In this paper we classify super dynamical r−matrices with zero weight.