Quasifinite representations of the Lie superalgebra of quantum pseudodifferential operators
نویسندگان
چکیده
منابع مشابه
Quasifinite representations of classical Lie subalgebras of W 1 + ∞
We show that there are precisely two, up to conjugation, anti-involutions σ± of the algebra of differential operators on the circle preserving the principal gradation. We classify the irreducible quasifinite highest weight representations of the central extension D̂± of the Lie subalgebra of this algebra fixed by −σ±, and find the unitary ones. We realize them in terms of highest weight represen...
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Noncommutative differential geometry has attracted considerable interest both mathematically and also from theoretical physics side over the past decade. Especially, there is much activity in differential geometry on quantum groups. For references to the literature for quantum groups we refer to the recent book by Majid [1]. The basic structure giving a direction to the noncommutative geometry ...
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولCharacters of Strongly Generic Irreducible Lie Superalgebra Representations
An explicit character formula is established for any strongly generic finite-dimensional irreducible g-module, g being an arbitrary finite-dimensional complex Lie superalgebra. This character formula had been conjectured earlier by Vera Serganova and the author for any generic irreducible finite-dimensional g-module, i.e. such that its highest weight is far enough from the walls of the Weyl cha...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2008
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2834919