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2,158
On Embedding of Lie Conformal Algebras into Associative Conformal Algebras
, 2005
"... Abstract. We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same. We also give a list of open questions conc ..."
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Abstract. We prove that a Lie conformal algebra L with bounded locality function is embeddable into an associative conformal algebra A with the same bound on the locality function. If L is nilpotent, then so is A, and the nilpotency index remains the same. We also give a list of open questions
ON EMBEDDING OF LIE CONFORMAL ALGEBRAS INTO ASSOCIATIVE CONFORMAL ALGEBRAS
, 2004
"... Conformal algebras. A conformal algebra is, roughly speaking, a linear space A with infinitely many bilinear products (n) : A × A → A, parameterized by an nonnegative integer n, and a derivation D: A → A. An important property of these products is that for any fixed a, b ∈ A we have a(n)b = 0 when ..."
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Cited by 4 (0 self)
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Conformal algebras. A conformal algebra is, roughly speaking, a linear space A with infinitely many bilinear products (n) : A × A → A, parameterized by an nonnegative integer n, and a derivation D: A → A. An important property of these products is that for any fixed a, b ∈ A we have a(n)b = 0 when
Identities of conformal algebras and pseudoalgebras
 Comm. Algebra
"... Abstract. For a given conformal algebra C, we write down the correspondence between identities of the coefficient algebra Coeff C and identities of C itself as of pseudoalgebra. In particular, we write down the defining relations of Jordan, alternative and Mal’cev conformal algebras, and show that t ..."
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Cited by 11 (9 self)
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Abstract. For a given conformal algebra C, we write down the correspondence between identities of the coefficient algebra Coeff C and identities of C itself as of pseudoalgebra. In particular, we write down the defining relations of Jordan, alternative and Mal’cev conformal algebras, and show
ΓConformal Algebras
, 1997
"... Γconformal algebra is an axiomatic description of the operator product expansion of chiral fields with simple poles at finitely many points. We classify these algebras and their representations in terms of Lie algebras and their representations with an action of the group Γ. To every Γconformal al ..."
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Cited by 4 (1 self)
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Γconformal algebra is an axiomatic description of the operator product expansion of chiral fields with simple poles at finitely many points. We classify these algebras and their representations in terms of Lie algebras and their representations with an action of the group Γ. To every Γconformal
VARIETIES OF DIALGEBRAS AND CONFORMAL ALGEBRAS
, 2007
"... Abstract. For a given variety Var of algebras we define the variety Var of dialgebras. This construction turns to be closely related with varieties of pseudoalgebras: every Vardialgebra can be embedded into an appropriate pseudoalgebra of the variety Var. In particular, Leibniz algebras are exact ..."
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Cited by 16 (8 self)
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are exactly Lie dialgebras, and every Leibniz algebra can be embedded into current Lie conformal algebra.
The Null Decomposition of Conformal Algebras
, 2006
"... We analyze the decomposition of the enveloping algebra of the conformal algebra in arbitrary dimension with respect to the masssquared operator. It emerges that the subalgebra that commutes with the masssquared is generated by its Poincaré subalgebra together with a vector operator. The special ca ..."
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We analyze the decomposition of the enveloping algebra of the conformal algebra in arbitrary dimension with respect to the masssquared operator. It emerges that the subalgebra that commutes with the masssquared is generated by its Poincaré subalgebra together with a vector operator. The special
Associative algebras related to conformal algebras
 Appl. Categ. Structures
"... Abstract. In this note, we introduce a class of algebras that are in some sense related to conformal algebras. This class (called TCalgebras) includes Weyl algebras and some of their (associative and Lie) subalgebras. By a conformal algebra we generally mean what is known as Hpseudoalgebra over t ..."
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Cited by 3 (2 self)
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Abstract. In this note, we introduce a class of algebras that are in some sense related to conformal algebras. This class (called TCalgebras) includes Weyl algebras and some of their (associative and Lie) subalgebras. By a conformal algebra we generally mean what is known as Hpseudoalgebra over
Formal distribution algebras and conformal algebras
 In: XIIth International Congress in Mathematical Physics (ICMP’97
, 1999
"... Conformal algebra is an axiomatic description of the operator product expansion (or rather its Fourier transform) of chiral fields in a conformal field theory. It turned out to be an adequate tool for the realization of the program of the study of Lie (super)algebras and associative algebras (and th ..."
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Cited by 34 (3 self)
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Conformal algebra is an axiomatic description of the operator product expansion (or rather its Fourier transform) of chiral fields in a conformal field theory. It turned out to be an adequate tool for the realization of the program of the study of Lie (super)algebras and associative algebras (and
Associative conformal algebras of linear growth
 J. Algebra
"... Abstract. We classify unital associative conformal algebras of linear growth and provide new examples of such. ..."
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Cited by 10 (2 self)
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Abstract. We classify unital associative conformal algebras of linear growth and provide new examples of such.
Conformal algebra and physical states
 in noncritical 3brane on R x S**3,” Prog. Theor. Phys. 110
, 2004
"... A worldvolume model of noncritical 3brane is quantized in a strong coupling phase where fluctuations of the conformal mode become dominant. This phase, called the conformalmode dominant phase, is realized at the very high energy far beyond the Planck mass scale. We separately treat the conformal ..."
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Cited by 4 (0 self)
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is described as a four dimensional conformal field theory (CFT4). We canonically quantize this model on R×S 3 where the dynamical metric fields are expanded using spherical tensor harmonics on S 3. Conformal charges and conformal algebra are constructed. They give strong constraints on physical states. We find
Results 1  10
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2,158