Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Vijay Kodiyalam"'
Autor:
Vijay Kodiyalam, Sruthy Murali
Publikováno v:
Proceedings of the American Mathematical Society. 149:163-172
Latin squares naturally yield planar subalgebras of the spin planar algebra. We show that all of these are of subgroup-group-type.
Autor:
Vijay Kodiyalam, Sandipan De
Publikováno v:
Quantum Topology. 9:141-165
We produce an explicit embedding of the planar algebra of the Drinfeld double of a finite-dimensional, semisimple and cosemisimple Hopf algebra $H$ into the two-cabling of the planar algebra of the dual Hopf algebra $H^*$ and characterise the image.<
Autor:
Vijay Kodiyalam, V Sunder
Publikováno v:
Research Notes in Mathematics Series ISBN: 9781584882411
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e19cbc3b2e5367deac42b3346bd4ebe4
https://doi.org/10.1201/9780429186912
https://doi.org/10.1201/9780429186912
Autor:
V S Sunder, Vijay Kodiyalam
Publikováno v:
Research Notes in Mathematics Series ISBN: 9781584882411
Topological quantum field theories from subfactors
Topological quantum field theories from subfactors
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46ecf197cdfca627528d6bc210ac35d5
https://doi.org/10.1201/9780429186912-1
https://doi.org/10.1201/9780429186912-1
We define a certain abstract planar algebra by generators and relations, study various aspects of its structure, and then identify it with Jones' spin planar algebra.
11 pages, 12 figures
11 pages, 12 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::860e85b2e3a588dc639a6e4b0cc3fe59
http://arxiv.org/abs/1901.11191
http://arxiv.org/abs/1901.11191
Publikováno v:
International Journal of Mathematics. 31:2050124
We define generalized notions of biunitary elements in planar algebras and show that objects arising in quantum information theory such as Hadamard matrices, quantum Latin squares and unitary error bases are all given by biunitary elements in the spi
Autor:
Srikanth Tupurani, Vijay Kodiyalam
Publikováno v:
Proceedings - Mathematical Sciences. 126:235-240
We show that a subfactor planar algebra of finite depth k is generated by a single s-box, for $s \leq \min \{k+4,2k\}$ .
Autor:
V. S. Sunder, Vijay Kodiyalam
Publikováno v:
Journal of Functional Analysis. 260:2635-2673
Using an analogue of the Guionnet–Jones–Shlyakhtenko construction for graphs we show that their construction applied to any subfactor planar algebra of finite depth yields an inclusion of interpolated free group factors with finite parameter, the