Erratums : “Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. $SU(n)$ groups”

W. H. Klink; T. Ton-That

Displaying similar documents to “Erratums : “Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. $S U (n)$ groups””

Decomposition numbers modulo p of certain representations of the groups $S L_{n} (p^{k}), S U_{n} (p^{k}), S p_{2 n} (p^{k})$

A. Zalesskii (1990)

Banach Center Publications

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Erratum : “ $C^{- \infty}$ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations”

Hisayosi Matumoto (1990)

Annales scientifiques de l'École Normale Supérieure

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Necessary and sufficient conditions for the chain rule in $W_{loc}^{1, 1} (ℝ^{N}; ℝ^{d})$ and $B V_{loc} (ℝ^{N}; ℝ^{d})$

Giovanni Leoni, Massimiliano Morini (2007)

Journal of the European Mathematical Society

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We prove necessary and sufficient conditions for the validity of the classical chain rule in the Sobolev space $W_{loc}^{1, 1} (ℝ^{N}; ℝ^{d})$ and in the space $B V_{loc} (ℝ^{N}; ℝ^{d})$ of functions of bounded variation.

On blocks of arithmetic progressions with equal products

N. Saradha (1997)

Journal de théorie des nombres de Bordeaux

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Let $f (X) \in ℚ [X]$ be a monic polynomial which is a power of a polynomial $g (X) \in ℚ [X]$ of degree $μ \geq 2$ and having simple real roots. For given positive integers $d_{1}, d_{2}, ℓ, m$ with $ℓ < m$ and gcd $(ℓ, m) = 1$ with $μ \leq m + 1$ whenever $m < 2$ , we show that the equation $f (x) f (x + d_{1}) \dots f (x + (ℓ k - 1) d_{1}) = f (y) f (y + d_{2}) \dots f (y + (m k - 1) d_{2})$ with $f (x + j d_{1}) \neq 0$ for $0 \leq j < ℓ k$ has only finitely many solutions in integers $x, y$ and $k \geq 1$ except in the case $m = μ = 2, ℓ = k = d_{2} = 1, f (X) = g (X), x = f (y) + y .$

Topological properties of two-dimensional number systems

Shigeki Akiyama, Jörg M. Thuswaldner (2000)

Journal de théorie des nombres de Bordeaux

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In the two dimensional real vector space $ℝ^{2}$ one can define analogs of the well-known $q$ -adic number systems. In these number systems a matrix $M$ plays the role of the base number $q$ . In the present paper we study the so-called fundamental domain $ℱ$ of such number systems. This is the set of all elements of $ℝ^{2}$ having zero integer part in their “ $M$ -adic” representation. It was proved by Kátai and Környei, that $ℱ$ is a compact set and certain translates of it form a tiling of the $ℝ^{2}$ . We construct...

Erratum : “On the supercuspidal representations of ${GL}_{N}, N$ the product of two primes”

Philip Kutzko, David Manderscheid (1991)

Annales scientifiques de l'École Normale Supérieure

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A problem of Kollár and Larsen on finite linear groups and crepant resolutions

Robert Guralnick, Pham Tiep (2012)

Journal of the European Mathematical Society

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The notion of age of elements of complex linear groups was introduced by M. Reid and is of importance in algebraic geometry, in particular in the study of crepant resolutions and of quotients of Calabi–Yau varieties. In this paper, we solve a problem raised by J. Kollár and M. Larsen on the structure of finite irreducible linear groups generated by elements of age $\leq 1$ . More generally, we bound the dimension of finite irreducible linear groups generated by elements of bounded deviation....

Real and complex analytic sets. The relevance of Segre varieties

Klas Diederich, Emmanuel Mazzilli (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $X \subset {ℂ^{n}}^{n}$ be a closed real-analytic subset and put $𝒜 : = {z \in X ∣ \exists A \subset X, germ of a complex-analytic set, z \in A, {dim}_{z} A > 0}$ This article deals with the question of the structure of $𝒜$ . In the main result a natural proof is given for the fact, that $𝒜$ always is closed. As a main tool an interesting relation between complex analytic subsets of $X$ of positive dimension and the Segre varieties of $X$ is proved and exploited.

Erratums : “Orthogonal polynomial bases for holomorphically induced representations of the general linear groups”

W. H. Klink, T. Ton-That (1980)

Annales de l'I.H.P. Physique théorique

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Explicit cogenerators for the homotopy category of projective modules over a ring

Amnon Neeman (2011)

Annales scientifiques de l'École Normale Supérieure

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Let $R$ be a ring. In two previous articles [12, 14] we studied the homotopy category $𝐊 (R - Proj)$ of projective $R$ -modules. We produced a set of generators for this category, proved that the category is $ℵ_{1}$ -compactly generated for any ring $R$ , and showed that it need not always be compactly generated, but is for sufficiently nice $R$ . We furthermore analyzed the inclusion $j_{!}^{} : 𝐊 (R - Proj) \to 𝐊 (R - Flat)$ and the orthogonal subcategory $𝒮 = {𝐊 (R - Proj)}^{⊥}$ . And we even showed that the inclusion $𝒮 \to 𝐊 (R - Flat)$ has a right adjoint; this forces some natural map to be...

Displaying similar documents to “Erratums : “Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. S U ( n ) groups””

Displaying similar documents to “Erratums : “Holomorphic induction and the tensor product decomposition of irreducible representations of compact groups. I. $S U (n)$ groups””