Harmonic Analysis, Group Representations, Automorphic Forms by Jian-Shu Li, Eng-Chye Tan, Nolan R Wallach, Chen-Bo Zhu

By Jian-Shu Li, Eng-Chye Tan, Nolan R Wallach, Chen-Bo Zhu

This quantity contains an identical name as that of a world convention held on the nationwide college of Singapore, nine eleven January 2006 at the celebration of Roger E. Howe s sixtieth birthday. Authored via major contributors of the Lie idea neighborhood, those contributions, increased from invited lectures given on the convention, are a becoming tribute to the originality, intensity and effect of Howe s mathematical paintings. the variety and variety of the subjects will entice a large viewers of analysis mathematicians and graduate scholars attracted to symmetry and its profound functions.

Show description

Read or Download Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory: In Honor of Roger E. Howe PDF

Similar applied mathematicsematics books

Clinical Applications of Continuous Performance Tests: Measuring Attention and Impulsive Responding in Children and Adults

The 1st entire consultant to non-stop functionality attempt techniquesContinuous functionality exams (CPTs) are utilized in the continued prognosis and remedy tracking of kids and adults with awareness Deficit Hyperactivity ailment (ADHD). In scientific functions of constant functionality assessments, 3 well-respected contributors of the behavioral review box speak about the medical use and obstacles of CPTs, in addition to their diagnostic efficacy for issues first obtrusive in youth and early life and people glaring later in maturity.

Theoretical Approaches to Obsessive-Compulsive Disorder (Problems in the Behavioural Sciences)

Obsessive Compulsive affliction (OCD) is at the moment the topic of substantial study, given that contemporary epidemiological experiences have recommended that the is extra normal than was once initially believed. This booklet deals a severe dialogue of an important theories which have been recommend to give an explanation for this ailment.

Reward for High Public Office: Asian and Pacific Rim States (Routledge Research in Comparative Politics)

The alternatives made through governments approximately easy methods to gift their best staff exhibit greatly approximately their values and their assumptions approximately governing. This ebook examines rewards of excessive public place of work in seven Asian political platforms, a very wealthy set of instances for exploring the explanations and effects of the rewards of excessive public workplace, having probably the most beneficiant and such a lot meagre present applications on this planet.

Extra info for Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory: In Honor of Roger E. Howe

Sample text

22] Roger Howe. Perspectives on invariant theory: Schur duality, multiplicityfree actions and beyond. In The Schur lectures (1992) (Tel Aviv), volume 8 of Israel Math. Conf. , pages 1–182. , Ramat Gan, 1995. [23] Roger Howe and Eng-Chye Tan. Nonabelian harmonic analysis. Universitext. Springer-Verlag, New York, 1992. Applications of SL(2, R). [24] James E. Humphreys. Introduction to Lie algebras and representation theory, volume 9 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1978.

In the p–adic case this is covered in the lectures of Brooks Roberts [43], see also [33], [3]. For unexplained notation see [3]. 1 Let π1 = L(µ1 , ν1 ) be an irreducible representation of G1 . The Theta Correspondence over R 33 Define the integer k = k[µ1 ] by writing µ1 = (a1 , . . , ak , 0, . . , 0; ) with a1 ≥ a2 ≥ · · · ≥ ak > 0. Write ν1 = (b1 , . . , bm ), and define the integer 0 ≤ q = q[µ1 , ν1 ] ≤ m − k to be the largest integer such that 2q − 2 + τ, 2q − 4 + τ, . . , τ all occur (in any order) in {±bk+1 , ±bk+2 , .

2 2 2 2 All such weights occur, subject to the obvious constraints k + ≤ p, k ≤ m, ≤ n. U (m, n) : III. [32] (Sp(p), O ∗ (2n)). Both Sp(p) and O ∗ (2n) are connected, and the coverings split, so we consider only the linear groups. The maximal compact subgroup of O ∗ (2n) is isomorphic to U (n). Sp(p) : O∗ (2n)) : σ = (a1 , . . , ak , 0, . . , 0) → τ = (a1 + p, . . , ak + p, p, . . , p) . All such weights occur, subject to the obvious constraints k ≤ p, n. 7. Joint Harmonics The proof of the results in Section 5 depends heavily on information about K–types.

Download PDF sample

Rated 4.53 of 5 – based on 19 votes