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Santosha Pattanayak
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Publications (25) A Product formula for the restriction of characters to principal SL_2 (with N Santosh and D. Prasad), preprint. (24) Topological K-theory of Peterson varieties, Preprint. (23) Subtorus quotient of Grassmannians, (with B.N. Chary and S.S. Kannan), Preprint. (22) Invariant Theory of the Queer color group (with Tinu Dhali and Preena Samuel), Submitted. (21) Generalized Casimir operators for Loop Lie superalgebras (with Abhishek Das), Submitted. (20) Mixed tensor invariants of the Lie color algebras (with Preena Samuel), Submitted. (19) Quotients of commuting schemes associated to symmetric pairs (with N Santosh), To appear in Transformation Groups (2025). (18) On tensor products of typical representations of Lie superalgebras (with Abhishek Das), Submitted. (17) Graded picture invariants and polynomial invariants for mixed tensor superspaces (with Preena Samuel), Journal of Algebra, Volume 661, 1 January 2025, Pages 595-621. (16) On some central operators on classical Lie superalgebras (with Sachin Sharma and S. Mukherjee), Journal of Pure and Applied Algebra, Volume 228, Issue 7, 2024 . (15) Weyl Modules for Toroidal Lie algebras (with Sachin Sharma and S. Mukherjee), Algebra and Representation Theory, Volume 26, 2023, 2605-2626. (14) A note on Branching of $V(\rho)$ (13) On the uniqueness of branching to fixed point Lie subalgebras, (With N Santosh), Forum Mathematicum-2022-0128. (12) On Torus quotient of Schubert varieties (With B.N. Chary), International Journal of Mathematics, 32, no 3 (2021). (11) Projective Normality of torus quotient of Grassmannian (With Arpita Nayek), Journal of Pure and Applied Algebra (2020). (10) Torus quotients of Richardson varieties in orthogonal and symplectic Grassmannian (With Arpita Nayek), J. Algebra Appl. (2019). (9) Torus quotients of Richardson varieties (With S. S. Kannan and S. Upadhyay), Comm. Algebra, Vol. 46, no. 3 (2018). (8) Projective normality of GIT quotient varieties modulo finite groups (With Pallav Goyal), Comm. Algebra, Vol. 45, no. 7 (2017). (7) Minimal Schubert Varieties admitting semistable points for exceptional cases, Comm. Algebra, Vol. 42, no. 9 (2014). finalstrings, C-code (6) Torus Invariants of the Homogeneous Coordinate Ring of G/B-Connection with Coxeter Elements (With S.S. Kannan and B.N. Chary), Comm. Algebra, Vol. 42, no. 5 (2014). (5) On some standard algebras in Modular Invariant theory, J. Algebra Appl., Vol. 13, no. 1 (2014). (4) Normality, Projective normality and EGZ theorem (With S. S. Kannan), INTEGERS: The Electronic Journal of Combinatorial Number Theory, Vol 11 (2011). (3) Projective Normality of Weyl Group quotients (With S. S. Kannan), Proc. Indian. Acad. Sci. Math. Sci. 121 (2011), no. 1, pp. 19-26. (2) Torus quotients of homogeneous spaces- minimal dimensional Schubert Varieties admitting semistable points (With S. S. Kannan), Proc. Indian Acad. Sci. Math. Sci. 119 (2009), no.4, 469-485. (1) Projective normality of finite group quotients (With S. S. Kannan and Pranab Sardar), Proc. Amer. Math. Soc. 137 (2009), no. 3, 863-867. Responsibilities: (1) Problem Committee Member: Simon-Marai Mathematics Competition (Asia Paciifc). (2) Regional Coordinator (North Zone): Mathematics Olympiad Program. Links Harish-Chandra
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