wedge product
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2021 ◽  
Vol 111 (2) ◽  
Author(s):  
R. Catenacci ◽  
C. A. Cremonini ◽  
P. A. Grassi ◽  
S. Noja

AbstractWe study the cohomology of the complexes of differential, integral and a particular class of pseudo-forms on odd symplectic manifolds taking the wedge product with the symplectic form as a differential. We thus extend the result of Ševera and the related results of Khudaverdian–Voronov on interpreting the BV odd Laplacian acting on half-densities on an odd symplectic supermanifold. We show that the cohomology classes are in correspondence with inequivalent Lagrangian submanifolds and that they all define semidensities on them. Further, we introduce new operators that move from one Lagragian submanifold to another and we investigate their relation with the so-called picture changing operators for the de Rham differential. Finally, we prove the isomorphism between the cohomology of the de Rham differential and the cohomology of BV Laplacian in the extended framework of differential, integral and a particular class of pseudo-forms.



2019 ◽  
Vol 18 (04) ◽  
pp. 1950071
Author(s):  
Javad Bagherian

In this paper, we first show that the wedge product of a thin association scheme and a schurian association scheme is schurian. Then as an application of this result, we investigate the schurity problem for the association schemes having the thin radical series. We show that these association schemes are schurian under some conditions on the successive quotients of their thin radical series.





2018 ◽  
Vol 68 (1) ◽  
pp. 227-236
Author(s):  
Masashi Misawa ◽  
Nobumitsu Nakauchi
Keyword(s):  


2014 ◽  
Vol 412 (2) ◽  
pp. 744-755
Author(s):  
Ahmad K. Al Abdulaali


2013 ◽  
Vol 8 (5) ◽  
pp. 1157-1183
Author(s):  
Gabriel Navarro
Keyword(s):  


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