✦ LIBER ✦

Equivariant Analytic Torsion for Compact Lie Group Actions

✍ Scribed by J. Lott

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 405 KB
Volume: 125
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1994.1132

No coin nor oath required. For personal study only.

✦ Synopsis

We define the equivariant analytic torsion for a compact Lie group action and study its dependence on the geometric data. 1994 Academic Press, Inc.

📜 SIMILAR VOLUMES

On Bernstein Polynomials for Compact Lie

On Bernstein Polynomials for Compact Lie Groups

✍ Carina Boyallian 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 188 KB

We give the Bernstein polynomials for basic matrix entries of irreducible unitary Ž . representations of compact Lie group SU 2 . We also give an application to the Ž . analytic continuation of certain distributions on SU 2 , and finally we briefly describe the Bernstein polynomial for B = B-semi-in

Quantum Galois Theory for Compact Lie Gr

Quantum Galois Theory for Compact Lie Groups

✍ Chongying Dong; Geoffrey Mason 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 90 KB

We establish a quantum Galois correspondence for compact Lie groups of automorphisms acting on a simple vertex operator algebra.

Lp−Lq Estimates for Orbital Measures and

Lp−Lq Estimates for Orbital Measures and Radon Transforms on Compact Lie Groups and Lie Algebras

✍ F. Ricci; G. Travaglini 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 427 KB

Let \(\mu\) be an invariant measure on a regular orbit in a compact Lie group or in a Lie algebra. We prove sharp \(L^{\prime \prime}-L^{4}\) estimates for the convolution operators defined through \(\mu\). We also obtain similar results for the related Radon transform on the Lie algebra. 1945 Acade

LIE GROUP THEORY AND ANALYTICAL SOLUTION

LIE GROUP THEORY AND ANALYTICAL SOLUTIONS FOR THE AXIALLY ACCELERATING STRING PROBLEM

✍ E. ÖZKAYA; M. PAKDEMİRLİ 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 372 KB

Transverse vibrations of a string moving with time-dependent velocity v(t) have been investigated. Analytical solutions of the problem are found using the systematic approach of Lie group theory. Group classi"cation with respect to the arbitrary velocity function has been performed using a newly dev

Description of the Automorphism Group Au

Description of the Automorphism Group Aut(A/Aα) for a Minimal Action of a Compact Kac Algebra and Its Application

✍ Takehiko Yamanouchi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 199 KB

It is shown that, for a minimal action a of a compact Kac algebra K on a factor A, the group of all automorphisms leaving the fixed-point algebra A a pointwise invariant is topologically isomorphic to the intrinsic group of the dual Kac algebra # K K. As an application, in the case where dim K o 1,