zbMATH — the first resource for mathematics

Preferences
- Hits per Page
  10
  
  20
  
  50
  
  100 (default)
  
  200
  Display Format
  MathML
  
  MathJax (default)
  
  AMS-TeX
Log-In

Help

Examples

Geometry Search for the term Geometry in any field. Queries are case-independent.

Fields

any	anywhere
cc	classification code
ct	classification text

Operators

a & b	logic and	abc*	right wildcard
a \| b	logic or	"ab c"	phrase
!ab	logic not	(ab c)	parentheses

Mathematical Subject Classification – MSC2010

17-XX

Nonassociative rings and algebras 39266

17-00

General reference works (handbooks, dictionaries, bibliographies, etc.) 8

17-01

Instructional exposition (textbooks, tutorial papers, etc.) 161

17-02

Research exposition (monographs, survey articles) 470

17-03

Historical (must also be assigned at least one classification number from Section 01) 64

17-04

Explicit machine computation and programs (not the theory of computation or programming) 120

17-06

Proceedings, conferences, collections, etc. 460

17-08

Computational methods 221

17Axx

General nonassociative rings 5844

17A01

General theory 163

17A05

Power-associative rings 224

17A15

Noncommutative Jordan algebras 157

17A20

Flexible algebras 150

17A30

Algebras satisfying other identities 1161

17A32

Leibniz algebras 433

17A35

Division algebras 455

17A36

Automorphisms, derivations, other operators 379

17A40

Ternary compositions 741

17A42

Other $n$-ary compositions (n \ge 3)$ 300

17A45

Quadratic algebras (but not quadratic Jordan algebras) 127

Free algebras 240

Structure theory 346

Radical theory 225

Superalgebras 1313

Composition algebras 262

17A80

Valued algebras 67

17A99

None of the above, but in this section 392

17Bxx

Lie algebras and Lie superalgebras [For Lie groups, see 22Exx] 31574

17B01

Identities, free Lie (super)algebras 919

17B05

Structure theory 1639

17B08

Coadjoint orbits; nilpotent varieties 229

17B10

Representations, algebraic theory (weights) 4080

17B15

Representations, analytic theory 297

17B20

Simple, semisimple, reductive (super)algebras 2808

17B22

Root systems 360

17B25

Exceptional (super)algebras 390

17B30

Solvable, nilpotent (super)algebras 2137

17B35

Universal enveloping (super)algebras [See also 16S30] 1858

17B37

Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23] 7598

17B40

Automorphisms, derivations, other operators 1433

17B45

Lie algebras of linear algebraic groups [See also 14Lxx and 20Gxx] 800

17B50

Modular Lie (super)algebras 1302

17B55

Homological methods in Lie (super)algebras 814

17B56

Cohomology of Lie (super)algebras 1690

17B60

Lie (super)algebras associated with other structures (associative, Jordan, etc.) [See also 16W10, 17C40, 17C50] 965

17B62

Lie bialgebras; Lie coalgebras 339

17B63

Poisson algebras 652

17B65

Infinite-dimensional Lie (super)algebras [See also 22E65] 2365

17B66

Lie algebras of vector fields and related (super) algebras 969

17B67

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras 2828

17B68

Virasoro and related algebras 1660

17B69

Vertex operators; vertex operator algebras and related structures 1456

17B70

Graded Lie (super)algebras 1870

17B75

Color Lie (super)algebras 108

17B80

Applications to integrable systems 544

17B81

Applications to physics 1753

17B99

None of the above, but in this section 1038

17Cxx

Jordan algebras (algebras, triples and pairs) 2495

17C05

Identities and free Jordan structures 196

17C10

Structure theory 575

17C17

Radicals 35

17C20

Simple, semisimple algebras 254

17C27

Idempotents, Peirce decompositions 75

17C30

Associated groups, automorphisms 129

17C36

Associated manifolds 45

17C37

Associated geometries 45

17C40

Exceptional Jordan structures 147

17C50

Jordan structures associated with other structures [See also 16W10] 499

17C55

Finite-dimensional structures 92

17C60

Division algebras 41

17C65

Jordan structures on Banach spaces and algebras [See also 46H70, 46L70] 621

17C70

Super structures 156

17C90

Applications to physics 35

17C99

None of the above, but in this section 201

17Dxx

Other nonassociative rings and algebras 2303

17D05

Alternative rings 860

17D10

Mal’cev (Mal’tsev) rings and algebras 268

17D15

Right alternative rings 134

17D20

(\gamma, \delta)$-rings, including $(1,-1)$-rings 87

17D25

Lie-admissible algebras 240

17D92

Genetic algebras 405

17D99

None of the above, but in this section 530

Overview

General mathematics

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory, homological algebra

$K$-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximation and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum Theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication, circuits

Mathematics education