Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: BV-algebra

Bottom of Page

1 to 4 of 4

  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 25th 2010

    stub for BV-algebra

    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeOct 14th 2022
    Hochschild cohomology does in general not carry a BV algebra structure. For instance the Hochschild cohomology of the free algebra in two variables k<x,y> over a field k, is a counter-example. It is concentrated in degrees 1 and 0 and since HH^1 contains a Lie subalgebra isomorphic to gl_2, the Gerstenhaber bracket cannot be induced by a BV second order operator.
    • CommentRowNumber3.
    • CommentAuthorGuest
    • CommentTimeOct 14th 2022
    Zbigniew Wojciechowski (TU Dresden)
    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 14th 2022
    • (edited Oct 14th 2022)

    In the respective paragraph (here) I have:

    • carried over the disclaimer “in good cases” from the preceding paragraph;

    • added pointer to the respective reference items (which were listed before, but not pointed to from the main text).

    Of course, it would be worthwhile to expand on this point much more.

    diff, v20, current

1 to 4 of 4

  1.