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pro vyhledávání: '"Debapriya Biswas"'
Autor:
Debapriya Biswas, Sneha Gupta
Publikováno v:
Surveys in Mathematics and its Applications, Vol 19 (2024), Pp 331-359 (2024)
Inspired by the Erlangen Program of Felix Klein, we have studied the SL(2;ℝ)-action on complex, dual and double numbers focusing mainly on dual numbers. Using the Iwasawa decomposition, we have classified SL(2;ℝ) into three one-parameter subgroup
Externí odkaz:
https://doaj.org/article/43511b8412514c35a491bf91d8ec5d8f
Autor:
Debapriya Biswas, Ipsita Rajwar
Publikováno v:
Armenian Journal of Mathematics. 14:1-15
We investigate the action of the Lie group $\text{SL}(3,\mathbb{R})$ on the two-dimensional homogeneous space. All the one-parameter subgroups (up to conjugacy) of $\text{SL}(3,\mathbb{R})$ are considered. We discuss the orbits and curvatures of thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::881b71ec3e4c1d839dd9514285cf4c03
https://doi.org/10.52737/18291163-2022.14.11-1-15
https://doi.org/10.52737/18291163-2022.14.11-1-15
Autor:
Debapriya Biswas, Sandipan Dutta
Publikováno v:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 92:23-29
In this paper, we have considered all the possible continuous subgroups of the Lie group $$SL(2;{\mathbb {R}})$$ (upto conjugacy) from dimension zero to three. For each of the classification, we have defined group action on the same line as Kisil. Mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d958c48be2835c38881f9916b6a5e866
https://doi.org/10.1007/s40010-020-00673-1
https://doi.org/10.1007/s40010-020-00673-1
Autor:
Debapriya Biswas
From time immemorial, marriage is considered one of the most important social institution in a man’s life; however, it wasn’t until the modern era that many cultures slowly started accepting the concept that marriage may not be some holy union bu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ca5170d2d0dc8d477f36328b3478476
Autor:
Debapriya Biswas
Publikováno v:
Resonance. 20:136-150
In this article, we discuss the exponential and the logarithmic functions in the realm of matrices. These notions are very useful in the mathematical and the physical sciences [1,2]. We discuss some important results including the connections establi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72cfd056debf70e901a5cfdbdf7cfb82
https://doi.org/10.1007/s12045-015-0161-z
https://doi.org/10.1007/s12045-015-0161-z
Autor:
Debapriya Biswas
Publikováno v:
Journal of Applied Analysis. 18
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99b42989857122c402350b7f65a402ad
https://doi.org/10.1515/jaa-2012-0008
https://doi.org/10.1515/jaa-2012-0008