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  • Connections on Lie groupoids and Chern–Weil theory 
    Biswas, Indranil; Chatterjee, Saikat; KOUSHIK, PRAPHULLA; Neumann, Frank (World Scientific Publishing, 2023-12)
    This paper presents the infinitesimal prolongation to Riemann–Liouville and Caputo fractional derivatives without the restrictive lower limit fixed in the integrals, when applicated to the transformation group. The properties ...
  • Nilpotent Lie algebras with two centralizer dimensions over a finite field 
    Kundu, Rijubrata; Naik, Tushar Kanta; SINGH, ANUPAM (Elsevier B.V., 2023-11)
    A result of Barnea and Isaacs states that if L is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of L is either 2 or 3. In this article, we classify all ...
  • Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces 
    Toft, Joachim; BHIMANI, DIVYANG G.; Manna, Ramesh (Elsevier B.V., 2023-11)
    We give a proof of that harmonic oscillator propagators and fractional Fourier transforms are essentially the same. We deduce continuity properties and fix time estimates for such operators on modulation spaces, and apply ...
  • Parameterized complexity of multicut in weighted trees 
    Galby, Esther; Marx, Daniel; Schepper, Philipp; Sharma, Roohani; TALE, PRAFULLKUMAR (Elsevier B.V., 2023-11)
    In the Multicut problem, given an undirected graph G, a set of pairs of vertices P, and a budget k, the goal is to determine if there is a set S of at most k edges such that for each (s, t) is an element of P, the graph G ...
  • Nonlocal ergodic control problem in Rd 
    BISWAS, ANUP; Topp, Erwin (Springer Nature, 2023-11)
    We study the existence–uniqueness of solution to the ergodic Hamilton–Jacobi equation
  • Noncommutative tensor triangulated categories and coherent frames 
    MALLICK, VIVEK MOHAN; Ray, Samarpita (Académie des sciences, 2023-11)
    We develop a point-free approach for constructing the Nakano–Vashaw–Yakimov–Balmer spectrum of a noncommutative tensor triangulated category under certain assumptions. In particular, we provide a conceptual way of classifying ...
  • Splitting of differential quaternion algebras 
    GUPTA, PARUL; KAUR, YASHPREET; SINGH, ANUPAM (Elsevier B.V., 2023-11)
    We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field k is always split by a quadratic extension of k. However, a differential quaternion algebra need not be split ...
  • Eisenstein cycles and Manin-Drinfeld properties 
    BANERJEE, DEBARGHA; Merel, Loic (Walter De Gruyter, 2023-11)
    Let Gamma be a subgroup of finite index of SL2(Z). We give an analytic criterion for a cuspidal divisor to be torsion in the Jacobian J(Gamma) of the corresponding modular curve X-Gamma. Our main tool is the explicit ...
  • Non-vanishing of theta components of Jacobi forms with level and an application 
    ANAMBY, PRAMATH (World Scientific Publishing Co Pte Ltd, 2023-11)
    We prove that a nonzero Jacobi form of level N (an odd integer) and square-free index m(1)m(2) with m1|N and (N, m(2)) = 1 has a nonzero theta component h mu with either (mu, 2m(1)m(2)) = 1 or (mu, 2m(1)m(2)) f (2)m(2). ...
  • The image of polynomials and Waring type problems on upper triangular matrix algebras 
    PANJA, SAIKAT; Prasad, Sachchidanand (Elsevier B.V., 2023-10)
    Let p be a polynomial in non-commutative variables x1, x2, ..., xn with constant term zero over an algebraically closed field K. The object of study in this paper is the image of this kind of polynomial over the algebra ...

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