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Tensor modules over Witt superalgebras
In this paper, we study the tensor module P ⊗ M over the Witt superalgebra W
m,n + (resp. W m,n ), where P is a simple module over the Weyl... -
Galois families of modular forms and application to weight one
We introduce Galois families of modular forms. They are a new kind of family coming from Galois representations of the absolute Galois groups of...
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Lusztig’s t-Analogue of Weight Multiplicity via Crystals
We give a purely combinatorial proof of the positivity of the stabilized forms of the generalized exponents associated with each classical root...
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Modules of Non-unital Polynomial Rota-Baxter Algebras
In this paper, we study the free commutative non-unital Rota-Baxter algebra which is the algebra of polynomials in one variable without constant term...
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Proofs of Ibukiyama’s conjectures on Siegel modular forms of half-integral weight and of degree 2
We prove Ibukiyama’s conjectures on Siegel modular forms of half-integral weight and of degree 2 by using Arthur’s multiplicity formula on the split...
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Decentralized distributed parameter tuning model to generate unidirectional movements
This study proposes a module designed for the automatic parameter control of peristaltic locomotion systems. The module comprises two populations of...
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Singular Conformal Oscillator Representations of Orthosymplectic Lie Superalgebras
In our earlier paper, we generalize the one-parameter ( c ) family of inhomogeneous first-order differential operator representations of the orthogonal...
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Exact weights, path metrics, and algebraic Wasserstein distances
We use weights on objects in an abelian category to define what we call a path metric. We introduce three special classes of weight: those compatible...
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Finite Dimensional Modules over Indefinite Kac–Moody Lie Algebras
In this paper, we study the finite dimensional modules over indefinite Kac–Moody Lie algebras. We prove that any Kac–Moody Lie algebra with...
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Noise-Immune Communication with Orthogonal Frequency Division Multiplexing Using Kravchenko Weight Function Processing
AbstractSignal structures based on OFDM signals and error-correcting codes resistant to the influence of spectrum-concentrated noise are described....
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Whittaker Modules over the N = 2 Super-BMS3 Algebra
This paper focuses on the analysis of Whittaker modules and high-order Whittaker modules over the N = 2 super-BMS 3 algebra. We provide a...
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The weight reduction of mod p Siegel modular forms for \(GSp_4\) and theta operators
In this paper we investigate the (classical) weights of mod p Siegel modular forms of degree 2 toward studying Serre’s conjecture for
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On abelian subcategories of triangulated categories
The stable module category of a selfinjective algebra is triangulated, but need not have any nontrivial t -structures, and in particular, full abelian...
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On the source algebra equivalence class of blocks with cyclic defect groups, I
We investigate the source algebra class of a p -block with cyclic defect groups of the group algebra of a finite group. By the work of Linckelmann...
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Inequalities of the Markov–Nikol’skii Type in Regions with Zero Interior Angles in the Bergman Space
The order of growth of the module of an arbitrary algebraic polynomial in a weighted Bergman space A p ( G, h ) , p > 0 , is studied in the regions with...