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Bombay Lectures on highest weight representations of infinite dimensional lie algebras [[electronic resource] /] / Victor G. Kac, Ashok K. Raina, Natasha Rozhkovskaya
Bombay Lectures on highest weight representations of infinite dimensional lie algebras [[electronic resource] /] / Victor G. Kac, Ashok K. Raina, Natasha Rozhkovskaya
Autore Kac Victor G. <1943->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Descrizione fisica 1 online resource (250 p.)
Disciplina 520
Altri autori (Persone) RainaAshok K
RozhkovskayaNatasha
Collana Advanced series in mathematical physics
Soggetto topico Lie algebras
Quantum theory
Soggetto genere / forma Electronic books.
ISBN 981-4522-20-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Preface to the second edition; CONTENTS; Lecture 1; 1.1. The Lie algebra d of complex vector fields on the circle; 1.2. Representations Vα,β of; 1.3. Central extensions of : the Virasoro algebra; Lecture 2; 2.1. Definition of positive-energy representations of Vir; 2.2. Oscillator algebra A; 2.3. Oscillator representations of Vir; Lecture 3; 3.1. Complete reducibility of the oscillator representations of Vir; 3.2. Highest weight representations of Vir; 3.3. Verma representations M(c, h) and irreducible highest weight representations V (c, h) of Vir
11.3. A character identity Lecture 12; 12.1. Preliminaries on sl2; 12.2. A tensor product decomposition of some representations of sl2; 12.3. Construction and unitarity of the discrete series representations of Vir; 12.4. Completion of the proof of the Kac determinant formula; 12.5. On non-unitarity in the region 0 c < 1, h 0; Lecture 13; 13.1. Formal distributions; 13.2. Local pairs of formal distributions; 13.3. Formal Fourier transform; 13.4. Lambda-bracket of local formal distributions; Lecture 14; 14.1. Completion of U, restricted representations and quantum fields
14.2. Normal ordered product
Record Nr. UNINA-9910452554703321
Kac Victor G. <1943->  
Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bombay lectures on highest weight representations of infinite dimensional lie algebras
Bombay lectures on highest weight representations of infinite dimensional lie algebras
Autore Kac Victor G. <1943->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Descrizione fisica 1 online resource (xii, 237 pages)
Disciplina 520
Collana Advanced series in mathematical physics
Gale eBooks
Soggetto topico Infinite dimensional Lie algebras
Quantum field theory
ISBN 981-4522-20-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Preface to the second edition; CONTENTS; Lecture 1; 1.1. The Lie algebra d of complex vector fields on the circle; 1.2. Representations Vα,β of; 1.3. Central extensions of : the Virasoro algebra; Lecture 2; 2.1. Definition of positive-energy representations of Vir; 2.2. Oscillator algebra A; 2.3. Oscillator representations of Vir; Lecture 3; 3.1. Complete reducibility of the oscillator representations of Vir; 3.2. Highest weight representations of Vir; 3.3. Verma representations M(c, h) and irreducible highest weight representations V (c, h) of Vir
11.3. A character identity Lecture 12; 12.1. Preliminaries on sl2; 12.2. A tensor product decomposition of some representations of sl2; 12.3. Construction and unitarity of the discrete series representations of Vir; 12.4. Completion of the proof of the Kac determinant formula; 12.5. On non-unitarity in the region 0 c < 1, h 0; Lecture 13; 13.1. Formal distributions; 13.2. Local pairs of formal distributions; 13.3. Formal Fourier transform; 13.4. Lambda-bracket of local formal distributions; Lecture 14; 14.1. Completion of U, restricted representations and quantum fields
14.2. Normal ordered product
Record Nr. UNINA-9910779990203321
Kac Victor G. <1943->  
Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Bombay lectures on highest weight representations of infinite dimensional lie algebras
Bombay lectures on highest weight representations of infinite dimensional lie algebras
Autore Kac Victor G. <1943->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Descrizione fisica 1 online resource (xii, 237 pages)
Disciplina 520
Collana Advanced series in mathematical physics
Gale eBooks
Soggetto topico Infinite dimensional Lie algebras
Quantum field theory
ISBN 981-4522-20-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Preface to the second edition; CONTENTS; Lecture 1; 1.1. The Lie algebra d of complex vector fields on the circle; 1.2. Representations Vα,β of; 1.3. Central extensions of : the Virasoro algebra; Lecture 2; 2.1. Definition of positive-energy representations of Vir; 2.2. Oscillator algebra A; 2.3. Oscillator representations of Vir; Lecture 3; 3.1. Complete reducibility of the oscillator representations of Vir; 3.2. Highest weight representations of Vir; 3.3. Verma representations M(c, h) and irreducible highest weight representations V (c, h) of Vir
11.3. A character identity Lecture 12; 12.1. Preliminaries on sl2; 12.2. A tensor product decomposition of some representations of sl2; 12.3. Construction and unitarity of the discrete series representations of Vir; 12.4. Completion of the proof of the Kac determinant formula; 12.5. On non-unitarity in the region 0 c < 1, h 0; Lecture 13; 13.1. Formal distributions; 13.2. Local pairs of formal distributions; 13.3. Formal Fourier transform; 13.4. Lambda-bracket of local formal distributions; Lecture 14; 14.1. Completion of U, restricted representations and quantum fields
14.2. Normal ordered product
Record Nr. UNINA-9910814425703321
Kac Victor G. <1943->  
Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui