李超代数在李理论、微分几何及数学物理等领域起着重要的作用。张润萱著的《李超代数及相关的代数结构(英文版)》是著者今年来研究李超代数及相关的代数结构的最新研究成果，主要包括李超代数的广义导子超代数、左对称超代数及w-李代数。本书结构安排如下：第一部分（第一至四章）回顾李超代数、左对称超代数、Hom-型超代数以及w-李代数的背景和基本概念；第二部分（第五至九章）是本专著的核心，研究内容包括：1.李超代数的广义导子和拟导子超代数；2.低维左对称超代数的分类；3.单李超代数上的相容左对称超代数结构；4.左对称超双代数的相关性质，并且诱导出与李超代数上的分次经典杨-巴斯特方程类似的左对称超代数上的方程；5.通过Hom-型Novikov超代数的仿射化构造了一些无限维Hom型李超代数。第三部分（第十至十二章）研究一类比较新的代数结构：w-李代数，包括低维分类和导子、自同构以及表示理论的研究。

Part I Preliminaries on Lie Superalgebas and Related Algebras
1 Lie Superalgebras
1.1 Graded vector spaces and superalgebras
1.2 Lie superalgebras
2 Left-symmetric Superalgebras
2.1 Background
2.2 Constructions of left-symmetric superalgebras
2.3 The classification problem
3 Hom-type Superalgebras
3.1 Background
3.2 Hom-type superalgebras
4 co-Lie Algebras
4.1 Background
4.2 Basic concepts
Part II Lie Superalgebras and Left-symmetric Superalgebras
5 Generalized Derivations of Lie Superalgebras
5.1 Generalized derivations and quasiderivations
5.2 Lie superalgebra cj with QDer(g) = gl(g)
5.3 Quasiderivations of Lie superalgebras
6 Low-dimensional Left-symmetric Superalgebras
6.1 Two-dimensional left-symmetric saperalgebras
6.1.1 Left-symmetric superalgebras on (B1)
6.1.2 Left-symmetric superalgebras on (B2)
6.1.3 Left-symmetric superalgebras on (B3)
6.2 Three-dimensional left-symmetric superalgebras with one-dimensional even part
6.2.1 Left-symmetric superalgebras on (Ci)
6.2.2 Left-symmetric superalgebras on (C2)λ
6.2.3 Left-symmetric superalgebras on (C3)
6.2.4 Left-symmetric superalgebras on (C4)
6.2.5 Left-symmetric superalgebras on (C5)
6.2.6 Left-symmetric superalgebras on (Qi)
6.3 Three-dimensional left-symmetric superalgebras with two-dimensional even part
6.4 An application: graded CYBE in Lie superalgebras
7 Left-symmetric Superalgebras on Simple Lie Superalgebras.
7.1 General results
7.2 1-cocycles and left-symmetric superalgebras
7.2.1 Bijective 1-cocycles and left-symmetric superalgebras
7.2.2 Equivalence and quasi-equivalence
7.2.3 Evaluation mapping
7.3 Left-symmetric superalgebras on sl(n|l)
7.4 Left-symmetric superalgebras on sl(2|l)
7.4.1 Some Lemmas
7.4.2 Bijective evaluation mappings and left-symmetric superalgebras associated with the module K(λ1) K(λ1')
7.4.3 Bijective evaluation mappings and left-symmetric superalgebras associated with the module K(λ1)(2)
7.4.4 Bijective evaluation mappings and left-symmetric superalgebras associated with K(λ2)
7.5 Left-symmetric superalgebras on SI(n + 1 |n)
7.6 Left-symmetric superalgebras on W(n)
8 Left-symmetric Bisuperalgebras and the Graded s-Equation
8.1 Matched pairs and graded phase spaces of Lie superalgebras
8.2 Bimodules and matched pairs of left-symmetric superalgebras
8.3 Left-symmetric bisuperalgebras
8.4 Coboundary left-symmetric bisuperalgebras
8.5 The Graded 5-equation and S-operators of left-symmetric superalgebras
9 Infinite-dimensional Hom-Lie Superalgebras
9.1 Infinite-dimensional Hom-Lie superalgebras
9.1.1 Construction of Hom-Lie superalgebras from Hom-BN superalgebras
9.1.2 Construction of Hom-Lie superalgebras from Hom-Novikov superalgebras
9.2 Central extensions of Hom-Lie superalgebras
9.2.1 Central extensions of Hom-Lie Superalgebras
9.2.2 Bilinear forms with certain invariance conditions on Hom-BN superalgebras
9.2.3 Bilinear forms with certain invariance conditions on Hom-Novikov superalgebras
Part III ω-Lie Algebras
10 Three-dimensional co-Lie Algebras
10.1 Main results
10.2 Ranks 0 and 1
10.3 Rank 2
10.4 Rank 3
10.5 Remarks
11 Four-dimensional and Simple co-Lie Algebras
11.1 Main results and a sketch of proof
11.2 Proof of Theorem 11.1
11.2.1 ω-Lie algebras containing L1
11.2.2 ω-Lie algebras containing L2
11.2.4 ω-Lie algebras containing B
11.2.5 ω-Lie algebras containing Ca
11.3 Simple co-Lie algebras and more discussions
12 Derivations, Automorphisms and Representations
12.1 Three-dimensional derivations
12.2 Three-dimensional automorphisms
12.3 Four-dimens