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The Schroedinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$
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The Schroedinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ (Paperback)

£71.95
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Synopsis

The authors introduce a generalization of the Fourier transform, denoted by $\mathcal{F}_C$, on the isotropic cone $C$ associated to an indefinite quadratic form of signature $(n_1,n_2)$ on $\mathbb{R}^n$ ($n=n_1+n_2$: even). This transform is in some sense the unique and natural unitary operator on $L^2(C)$, as is the case with the Euclidean Fourier transform $\mathcal{F}_{\mathbb{R}^n}$ on $L^2(\mathbb{R}^n)$. Inspired by recent developments of algebraic representation theory of reductive groups, the authors shed new light on classical analysis on the one hand, and give the global formulas for the $L^2$-model of the minimal representation of the simple Lie group $G=O(n_1+1,n_2+1)$ on the other hand.

Science & MathematicsMathematicsAlgebraScience & MathematicsMathematicsGroups & group theoryScience & MathematicsPhysicsMathematical physicsScience & MathematicsPhysicsQuantum physics incl quantum mechanics & quantum field theory Publisher: American Mathematical Society Publication Date: 15/12/2012 ISBN-13: 9780821847572  Details: Type: Paperback Format: Books
Availability: Currently unavailable. Foyles can order for despatch to customer when the publisher is re-supplied on 16/10/2018.  

Toshiyuki Kobayashi is at University of Tokyo, Japan||PricewaterhouseCoopers Aarata, Tokyo, Japa

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