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- Yang-Baxter equation (10)
- Complex symmetric operator (3)
- Lie superalgebras (3)
- Lie superalgebra (2)
- Super dynamical r-matrices (2)
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- Toeplitz operator (2)
- Trace (2)
- Truncated Toeplitz operator (2)
- Zero weight condition (2)
- Automorphism (1)
- Automorphism group (1)
- Backward shift (1)
- Beurling's theorem (1)
- Binormal operator (1)
- Bosonisation (1)
- Classical Hom-Yang-Baxter equation (1)
- Coherent algebra sheaves (1)
- Complex symmetric matrix (1)
- Complex symmetric operators (1)
- Computations (1)
- Congruence (1)
- Congruence canonical form (1)
- Conjugation (1)
- Crystal base (1)
- Dirichlet algebra (1)
- Drinfeld superdoubles (1)
- Dynamical reflection equation (1)
- Eigenvalue (1)
- Eigenvalues (1)
- Euclid (1)
Articles 31 - 33 of 33
Full-Text Articles in Algebra
Review: Degenerate Series Representations Of The Q-Deformed Algebra Soq′(R,S), Gizem Karaali
Review: Degenerate Series Representations Of The Q-Deformed Algebra Soq′(R,S), 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.
A *-Closed Subalgebra Of The Smirnov Class, Stephan Ramon Garcia
A *-Closed Subalgebra Of The Smirnov Class, Stephan Ramon Garcia
Pomona Faculty Publications and Research
We study real Smirnov functions and investigate a certain *-closed subalgebra of the Smirnov class N^+ containing them. Motivated by a result of Aleksandrov, we provide an explicit representation for the space H^p ∩ H^p [overscore over the second H^p]. This leads to a natural analog of the Riesz projection on a certain quotient space of L^p for p ϵ (0, 1). We also study a Herglotz-like integral transform for singular measures on the unit circle ∂D.