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Displaying similar documents to “Zero-dimensional Gorenstein algebras with the action of the symmetric group”

Super boson-fermion correspondence

Victor G. Kac, J. W. Van de Leur (1987)

Annales de l'institut Fourier

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We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra g ˜ l 1 | 1 . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex...

Polynomial identities of nil algebras of bounded index

Francesca Benanti, Vesselin Drensky (1999)

Bollettino dell'Unione Matematica Italiana

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Lo scopo di questo lavoro è di dare una nuova descrizione del T -ideale generato dalla nil-identità x n = 0 come immagine omeomorfa della n -esima potenza tensoriale simmetrica dell'algebra associativa libera K ⁢ X su un campo K di caratteristica 0 . Come applicazione calcoliamo il carattere delle conseguenze multilineari di grado ≤ n + 2 dell'identità x n = 0 .

Specializations of Jordan superalgebras.

Consuelo Martínez, Efim Zelmanov (2001)

RACSAM

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We construct universal associative enveloping algebras for a large class of Jordan superalgebras.