Search results for "Number"
showing 10 items of 3939 documents
On defects of characters and decomposition numbers
2017
We propose upper bounds for the number of modular constituents of the restriction modulo [math] of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.
Families of ICIS with constant total Milnor number
2021
We show that a family of isolated complete intersection singularities (ICIS) with constant total Milnor number has no coalescence of singularities. This extends a well-known result of Gabriélov, Lazzeri and Lê for hypersurfaces. We use A’Campo’s theorem to see that the Lefschetz number of the generic monodromy of the ICIS is zero when the ICIS is singular. We give a pair applications for families of functions on ICIS which extend also some known results for functions on a smooth variety.
Construction of canonical coordinates for exponential Lie groups
2009
Given an exponential Lie group G, we show that the constructions of B. Currey, 1992, go through for a less restrictive choice of the Jordan-Holder basis. Thus we obtain a stratification of g * into G-invariant algebraic subsets, and for each such subset Ω, an explicit cross-section Σ C Ω for coadjoint orbits in Ω, so that each pair (Ω, Σ) behaves predictably under the associated restriction maps on g * . The cross-section mapping σ: Ω → Σ is explicitly shown to be real analytic. The associated Vergne polarizations are not necessarily real even in the nilpotent case, and vary rationally with ∈ Ω. For each Ω, algebras e 0 (Ω) and e 1 (Ω) of polarized and quantizable functions, respectively, a…
Unfolding the double shuffle structure of q-multiple zeta values
2015
We exhibit the double q-shuffle structure for the qMZVs recently introduced by Y. Ohno, J. Okuda and W. Zudilin.
Semi-Universal unfoldings and orbits of the contact group
1996
The generalized André systemsA(F,ß,(gi), (f i), ε)
1988
Der körper der siegelschen modulfunktionen
1978
Über die Darstellung affiner Ketten als Normkurven
1985
Zur Spektralinvarianz von Algebren von Pseudodifferentialoperatoren in derL p -Theorie
1988
Die Hormander-Klassen Ψ1,δ0 (0≤δ<1) von Pseudodifferentialoperatoren sind Ψ-Algebren. Insbesondere ist die Inverse eines inL(Lp(ℝn)) invertierbaren Pseudodifferentialoperators der Klasse Ψ1,δ0 selbst wieder ein Pseudodifferential-operator derselben Klasse.