Nonlinear transformation group of CAR fermion algebra

DOI10.1023/A:1016114322568zbMath1018.46033arXivmath-ph/0110004OpenAlexW3104177930MaRDI QIDQ1611316

Katsunori Kawamura, Mitsuo Abe

Publication date: 21 August 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0110004

zbMATH Keywords

automorphismCuntz algebranonlinear transformationCAR

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Operator algebra methods applied to problems in quantum theory (81R15) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (7)

PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY ⋮ AUTOMATA COMPUTATION OF BRANCHING LAWS FOR ENDOMORPHISMS OF CUNTZ ALGEBRAS ⋮ Recursive boson system in the Cuntz algebra O∞ ⋮ Universal fermionization of bosons on permutative representations of the Cuntz algebra O2 ⋮ Branching laws for endomorphisms of fermions and the Cuntz algebra O2 ⋮ Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2 ⋮ Extensions of representations of the CAR algebra to the Cuntz algebra O2—the Fock and the infinite wedge

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