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排序方式: 共有359条查询结果,搜索用时 15 毫秒
31.
Lisun Zheng 《代数通讯》2017,45(6):2417-2434
32.
In this paper, a super version of the Hopf quiver theory is developed. The notion of Hopf superquivers is introduced. It is
shown that only the path supercoalgebras of Hopf superquivers admit graded Hopf superalgebra structures. A complete classification
of such graded Hopf superalgebras is given. A superquiver setting for general pointed Hopf superalgebras is also built up.
In particular, a super version of the Gabriel type theorem and the Cartier-Gabriel decomposition theorem is given. 相似文献
33.
给出了广义Poisson超代数的同调和上同调群的基本性质.特别是,通过Hochschild上同调以及长正合列,建立了广义Poisson超代数上同调群的理论,刻画了这种代数的低阶上同调群.最后,决定了5-正合列以及它的泛中心扩张的核. 相似文献
34.
Yasemen Uan 《Mathematical Methods in the Applied Sciences》2019,42(16):5340-5345
In this paper, the third root of the Lie algebra su(2) based on the permutation group S3 is formulated in the Hopf algebra formalism. 相似文献
35.
Let F be the underlying base field of characteristic p > 3 and denote by Γō the even part of the finite-dimensional Lie superalgebra Γ.We give the generator sets of the Lie algebra Γō.Using certain properties of the canonical tori of Γō,we describe explicitly the derivation algebra of Γō. 相似文献
36.
We classify open maximal subalgebras of all infinite-dimensional linearly compact simple Lie superalgebras. This is applied to the classification of infinite-dimensional Lie superalgebras of vector fields, acting transitively and primitively in a formal neighborhood of a point of a finite-dimensional supermanifold. 相似文献
37.
Torsten Ekedahl 《Arkiv f?r Matematik》1984,22(1):185-239
Summary Due to the length this work is published in two parts. The second part will appear in Vol 23: 1 of this journal.
Part 1 has the subtitle “Duality for the de Rham—Witt complex” and Part 2 is entitled “A Künneth formula for the Hodge—Witt complex”. 相似文献
38.
Jørgen Rasmussen 《Nuclear Physics B》1998,510(3):3965-720
In this paper free field realizations of affine current superalgebras are considered. Based on quantizing differential operator realizations of the corresponding basic Lie superalgebras, general and simple expressions for both the bosonic and the fermionic currents are provided. Screening currents of the first kind are also presented. Finally, explicit free field realizations of primary fields with general, possibly non-integer, weights are worked out. A formalism is used where the (generally infinite) multiplet is replaced by a generating function primary operator. The results allow setting up integral representations for correlators of primary fields corresponding to integrable representations. The results are generalizations to superalgebras of a recent work on free field realizations of affine current algebras by Petersen, Yu and the present author. 相似文献
39.
Gregory D. Landweber 《K-Theory》2005,36(1-2):115-168
Given a Lie superalgebra
, we introduce several variants of the representation ring, built as subrings and quotients of the ring
of virtual
-supermodules, up to (even) isomorphisms. In particular, we consider the ideal
of virtual
-supermodules isomorphic to their own parity reversals, as well as an equivariant K-theoretic super representation ring
on which the parity reversal operator takes the class of a virtual
-supermodule to its negative. We also construct representation groups built from ungraded
-modules, as well as degree-shifted representation groups using Clifford modules. The full super representation ring
, including all degree shifts, is then a
-graded ring in the complex case and a
-graded ring in the real case. Our primary result is a six-term periodic exact sequence relating the rings
, and
. We first establish a version of it working over an arbitrary (not necessarily algebraically closed) field of characteristic
0. In the complex case, this six-term periodic long exact sequence splits into two three-term sequences, which gives us additional
insight into the structure of the complex super representation ring
. In the real case, we obtain the expected 24-term version, as well as a surprising six-term version, of this periodic exact
sequence.
(Received: October 2004) 相似文献
40.
We characterize hereditary (as coalgebras) Hopf algebras by the property of ‘equivariant smoothness’, and apply the result
to generalize to the super-context, the category equivalence, due to Hochschild, between the unipotent algebraic affine groups
and the finite-dimensional nilpotent Lie algebras, in characteristic zero. The global dimension of commutative Hopf algebras,
regarded as coalgebras, is also discussed.
Presented by S. Montgomery
Mathematics Subject Classification (2000) 16W30. 相似文献