Results 11 to 20 of about 96 (75)
Poincaré duality in Hochschild (co)homology [PDF]
, 2006 These are notes on van den Bergh’s analogue of Poincar´e duality in Hochschild (co)homology [VdB98]. They are based on survey talks that I gave in 2006 in G¨ottingen, Cambridge and Warsaw and consist of an elementary explanation of the proof in terms ...
Kraehmer, U.
core +9 more sources
Nonassociative constructions from inverse property quasigroups [PDF]
, 2011 PhDThe notion of a Hopf algebra has been generalized many times by weakening certain properties; we introduce Hopf quasigroups which weaken the associativity of the algebra.
Klim, Jennifer
core +4 more sources
Weak Hopf algebras corresponding to U-q[sl(n)] [PDF]
, 2003 We investigate the weak Hopf algebras of Li based on U-q[sl(n)] and Sweedler's finite dimensional example. We give weak Hopf algebra isomorphisms between the weak generalizations of U-q[sl(n)] which are "upgraded" automorphisms of U-q[sl(n)] and hence ...
Aizawa, N +7 more
core +2 more sources
Classification of ideals of $8$-dimensional Radford Hopf algebra [PDF]
, 2022 summary:Let $H_{m,n}$ be the $mn^2$-dimensional Radford Hopf algebra over an algebraically closed field of characteristic zero.
Wang, Yu
core +5 more sources
Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
core +1 more source
, 2023 In this thesis, we study algebro-geometric characterizations of commuting differential operators in families of semi-graded rings. First, we present some ring-theoretical notions of semi-graded rings that are necessary throughout the thesis. We include a
Niño Torres, Diego Arturo
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On Lie semiheaps and ternary principal bundles [PDF]
, 2022 summary:We introduce the notion of a Lie semiheap as a smooth manifold equipped with a para-associative ternary product. For a particular class of Lie semiheaps we establish the existence of left-invariant vector fields.
Bruce, Andrew James
core +3 more sources
Spectral Submanifolds of Delay Systems: Control in Continuous and Discrete Time
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper presents both continuous‐time and discretization‐based approaches for constructing spectral submanifolds (SSMs) for time delay systems. The continuous‐time approach built upon sun–star calculus, reformulates the governing delay differential equation (DDE) as an operator differential equation (OpDE).
Bence Szaksz +2 more
wiley +1 more source
A Lie theoretic approach to the twisting procedure and Maurer-Cartan simplicial sets over arbitrary rings [PDF]
, 2023 The Deligne-Getzler-Hinich--$\infty$-groupoid or Maurer-Cartan simplicial set of an $L_\infty$-algebra plays an important role in deformation theory and many other areas of mathematics.
Wierstra, Felix, de Kleijn, Niek
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Journal of Field Robotics, EarlyView.ABSTRACT The design of a hexapod is complex and requires integration between kinematic models, control systems, and sensing. Existing literature has reviewed these sub‐systems in isolation. Since 2021, there has been no review of the field despite significant advancements in soft soil, lunar traversal, and artificial intelligence.
Akhil Rampersad, Bashan Naidoo
wiley +1 more source