Decomposition numbers
Parallelotope tilings and q-decomposition numbers
... the decomposition numbers of a v-Schur algebra of degree n with quantum characteristic e over a field of positive characteristic p coincide with those of the corresponding v-Schur algebra over a field of ...
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Kleshchev's decomposition numbers and branching coefficients in the Fock space
... The deepest part of this theorem is the positivity of the q-decomposition numbers, which follows from Lusztig’s geometric approach to canonical bases. We shall require another positivity property of the ...
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Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero
... Remark 5.1.2. In [BCD13, Remark 5.5.3] it is noted that one can reduce the calculation of certain higher extension groups for B(m, 1, n) to the case of the classical Brauer algebra, as we did above for the ...
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Modular decomposition numbers of cyclotomic Hecke and diagrammatic Cherednik algebras: a path theoretic approach
... Our approach provides new insight even in the classical case; in particular it allows us to provide strong new degree-wise upper bounds for the graded decomposition numbers of symmetric groups. This ...
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The tilting tensor product theorem and decomposition numbers for symmetric groups
... We will now apply the results of the preceding section to derive a reduction theorem for decomposition numbers for the symmetric group. We begin by recalling some basic facts about symmetric groups and ...
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Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero
... All the arguments in this paper apply to the unoriented cyclotomic Brauer algebra as well, and it turns out that the corresponding idempotent subalgebras are isomorphic to a tensor product of classical Brauer algebras in ...
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Decomposition numbers for distant Weyl modules
... Throughout this section we shall assume that the decomposition numbers for Weyl modules with highest weight in the set of p 2 - restricted weights are known. In examples we shall only consider Weyl modules ...
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A Family of Graded Decomposition Numbers for Diagrammatic Cherednik Algebras
... As n tends to infinity, we find that there are infinitely many µ such that ℓ(µ) > ℓ(λ); the dimension of the standard module ∆(λ) and the number of composition factors of ∆(λ) also tend to infinity as n becomes ...
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Row and column removal in the q-deformed Fock space
... coefficients (which depends on n). They conjectured these polynomials to be q-analogues of decomposition numbers for Hecke algebras and quantized Schur algebras at complex n-th roots of unity. These ...
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Basic Orders for Defect Two Blocks of ℤpΣn
... primitive idempotent, then εΛ is a graduated order if and only if the decomposition numbers [V : S] are 6 1 for all simple Λ-modules S (i. e., p-reductions of irreducible lattices are multiplicity-free). ...
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Canonical bases for Fock spaces and tensor products
... some nodes whose p-residues are pairwise non-adjacent (Corollary 6.2), generalising the results of [TT] on the decomposition numbers. We also show that [Res(L(µ)) : L(λ)] = 0 whenever λ is obtained from µ ...
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A v-analogue of Peel's theorem
... corresponding decomposition numbers of symmetric group algebras in odd characteristic, and this is continued by James [4, Theorem ...v-decomposition numbers, when non-zero, are monic ...
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Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra
... Building on work of Doran, Hanlon, and Wales [DWH99] we determined, with Mar- tin, the blocks of the Brauer algebra over C [CDM09a]. This block structure could be defined in terms of the action of a Weyl group of type D ...
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Seeing Numbers
... instance, we normally “see at a glance” the triplicity in triangles or tripods, quaternity in squares, quintuplicity in five-point stars—all that without any actual process of counting angles (or legs or vertices or ...
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Construction of the Transcomplex Numbers From the Complex Numbers
... the numbers are being used, in other words what they are being used to model, rather than being a property of the number system ...transreal numbers to model, say, indefinite num- bers in calculus but, as ...
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Brother Numbers
... Sometimes you may want to choose from among several long distance carriers when you make a call. Rates may vary depending upon the time and destination. To take advantage of low rates, you can store the access codes or ...
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The r-Dowling Numbers and Matrices Containing r-Whitney Numbers of the Second Kind and Lah Numbers
... r-Dowling numbers expressed in terms of r-Whitney Lah numbers and r-Whitney numbers of the second kind is ...r-Dowling numbers, the r- Whitney-Lah numbers and the r-Whitney ...
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Synthesis, morphology and theoretical calculation of 1H benzotriazole aceto hydrazide
... Thermal decomposition of BAH indicated heating rate could affect the decomposition of BAH, the decomposition temperature and mass increased with increasing of heating ...
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A Manager s Guide to Project Management pdf
... OGBS organizational goals breakdown structure constructing, 69-74 business unit decomposition, 72-73 cultural decomposition, 73 horizontal decomposition, 71-72 time decomposition, 73-74 [r] ...
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Untangling the drivers of energy reduction in the UK productive sectors: Efficiency or offshoring?
... index decomposition analysis with two novel ...this decomposition analysis are also compared to the results of a conventional approach featuring only ...
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