Conformal operads and the basic vertex algebra cohomology complex

被引：0
作者：
De Sole, Alberto [1 ,2 ]
Heluani, Reimundo [3 ]
Kac, Victor G. [4 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, Ple A Moro 5, I-00185 Rome, Italy
[2] INFN, Ple A Moro 5, I-00185 Rome, Italy
[3] IMPA, Rio De Janeiro, Brazil
[4] MIT, Dept Math, Cambridge, MA 02138 USA
来源：
JAPANESE JOURNAL OF MATHEMATICS | 2025年 / 20卷 / 01期
关键词：
pro-conformal pseudo operad; basic cohomology of a vertex algebra; pseudo tensor category; FINITE;
D O I：
10.1007/s11537-024-2432-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop the notion of a (pro-) conformal pseudo operad and apply it to the construction of the basic cohomology complex of a vertex algebra. The paper heavily uses the ideas and constructions of the work of Tamarkin [Tam02].
引用
收藏
页码：113 / 167
页数：55
相关论文
共 9 条
  • [1] An operadic approach to vertex algebra and Poisson vertex algebra cohomology
    Bakalov, Bojko
    De Sole, Alberto
    Heluani, Reimundo
    Kac, Victor G.
    JAPANESE JOURNAL OF MATHEMATICS, 2019, 14 (02): : 249 - 342
  • [2] Computation of cohomology of vertex algebras
    Bakalov, Bojko
    De Sole, Alberto
    Kac, Victor G.
    JAPANESE JOURNAL OF MATHEMATICS, 2021, 16 (01): : 81 - 154
  • [3] The first Hochschild cohomology as a Lie algebra
    Rubio y Degrassi, Lleonard
    Schroll, Sibylle
    Solotar, Andrea
    QUAESTIONES MATHEMATICAE, 2023, 46 (09) : 1955 - 1980
  • [4] Local derivations of conformal Galilei algebra
    Alauadinov, Amir
    Bakhtiyor, Yusupov
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (06) : 2489 - 2508
  • [5] Lie algebra structures on cohomology complexes of some H-pseudoalgebras
    Wu, Zhixiang
    JOURNAL OF ALGEBRA, 2013, 396 : 117 - 142
  • [6] On the representation theory of the vertex algebra L-5/2(sl(4))
    Adamovic, Drazen
    Perse, Ozren
    Vukorepa, Ivana
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2023, 25 (02)
  • [7] Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras
    Gruson, Caroline
    Serganova, Vera
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2010, 101 : 852 - 892
  • [8] Conformal embeddings of affine vertex algebras in minimal W-algebras II: decompositions
    Adamovic, Drazen
    Kac, Victor G.
    Frajria, Pierluigi Moseneder
    Papi, Paolo
    Perse, Ozren
    JAPANESE JOURNAL OF MATHEMATICS, 2017, 12 (02): : 261 - 315
  • [9] The Poisson Lie Algebra, Rumin's Complex and Base Change
    D'Andrea, Alessandro
    AFFINE, VERTEX AND W-ALGEBRAS, 2019, 37 : 87 - 98
1