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Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra
We define a cup product on the Hochschild cohomology of an associative conformal algebra A , and show the cup product is graded commutative. We define...
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Conformal biderivations of loop W(a, b) Lie conformal algebra
We study conformal biderivations of a Lie conformal algebra. First, we give the definition of a conformal biderivation. Next, we determine the...
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Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks
We give a mathematical definition of irregular conformal blocks in the genus-zero WZNW model for any simple Lie algebra, using coinvariants of...
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Singular Conformal Oscillator Representations of Orthosymplectic Lie Superalgebras
In our earlier paper, we generalize the one-parameter ( c ) family of inhomogeneous first-order differential operator representations of the orthogonal...
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Conformal Transformations
This chapter deals with conformal transformations on semi-Riemannian manifolds, and equations relating the geometric objects corresponding to the old...
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Invariant Conformal Killing–Yano 2-Forms on Five-Dimensional Lie Groups
We study left invariant conformal Killing–Yano (CKY) 2-forms on Lie groups endowed with a left invariant metric. We classify all 5-dimensional metric...
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Conformal Envelopes of Novikov–Poisson Algebras
We prove that every Novikov–Poisson algebra over a field of zero characteristic can be embedded into a commutative conformal algebra with a...
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Conformal Vector Fields
This chapter is devoted to conformal Killing vector fields, their integrability conditions, their zeros and Lichnerowicz conjecture on...
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A Spinor Model for Cascading Two-Port Networks in Conformal Geometric Algebra
Building on the work in [1], this paper shows how Conformal Geometric Algebra (CGA) can be used to model an arbitrary two-port network as a rotation...
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New Class of Locally Conformal Kähler Manifolds
The purpose of this paper is to introduce a new class of locally conformal Kähler manifolds which will generalize the Vaisman manifold. Then, some...
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Weyl-Einstein structures on conformal solvmanifolds
A conformal Lie group is a conformal manifold ( M , c ) such that M has a Lie group structure and c is the conformal structure defined by a...
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Fusion and Positivity in Chiral Conformal Field Theory
In this article we show that the conformal nets corresponding to WZW models are rational, resolving a long-standing open problem. Specifically, we...
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Hom-Lie Algebras with Derivations
In this paper, we first introduce the notion of an HLieDer triple, which includes a Hom-Lie algebra and a derivation. We define a cohomology theory...