Class information for:
Level 1: LIE ALGEBROIDS//COURANT ALGEBROID//DIRAC STRUCTURES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8861 1210 22.2 42%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
299 3       PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION 41113
2480 2             LIE ALGEBROIDS//JOURNAL OF GEOMETRIC MECHANICS//DIRAC STRUCTURES 3950
8861 1                   LIE ALGEBROIDS//COURANT ALGEBROID//DIRAC STRUCTURES 1210

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LIE ALGEBROIDS authKW 2986390 13% 76% 155
2 COURANT ALGEBROID authKW 986478 3% 95% 41
3 DIRAC STRUCTURES authKW 843805 4% 63% 53
4 LIE GROUPOIDS authKW 766891 4% 62% 49
5 LIE BIALGEBROID authKW 455476 2% 95% 19
6 SYMPLECTIC GROUPOIDS authKW 420564 2% 83% 20
7 POISSON MANIFOLDS authKW 411216 3% 44% 37
8 GENERALIZED COMPLEX STRUCTURE authKW 370930 2% 70% 21
9 COURANT BRACKET authKW 328045 1% 100% 13
10 JACOBI MANIFOLDS authKW 277576 1% 100% 11

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 22906 59% 0% 715
2 Physics, Mathematical 20160 36% 0% 437
3 Mathematics, Applied 5924 28% 0% 343
4 Physics, Multidisciplinary 13 3% 0% 41
5 Physics, Particles & Fields 2 1% 0% 18
6 Multidisciplinary Sciences 0 0% 0% 4
7 History & Philosophy of Science -0 0% 0% 1
8 Philosophy -0 0% 0% 2
9 Automation & Control Systems -1 0% 0% 3
10 Social Sciences, Interdisciplinary -2 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MATEMAT FUNDAMENTAL 128183 2% 20% 25
2 BERNOUILLI 90119 0% 71% 5
3 RECH MATH AVANCEE STRASBOURG 80748 0% 80% 4
4 COURANT HIGHER ORDER STRUCT 63861 1% 28% 9
5 COURANT FOR UNGSZENTRUM STRUKTUREN HOHERER ORDN 50468 0% 100% 2
6 MATH METHODS PHYS 40939 1% 10% 17
7 UNIDAD ASOCIADA ULL CSIC GEOMETRIA DIFERENCIAL 33640 0% 33% 4
8 CMUC 26111 2% 5% 22
9 CATEDRA GEOMETRIE 25234 0% 100% 1
10 CNRSLAREMAUMR 6093 25234 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF GEOMETRY AND PHYSICS 130652 10% 5% 115
2 JOURNAL OF GEOMETRIC MECHANICS 99777 2% 16% 25
3 JOURNAL OF SYMPLECTIC GEOMETRY 36630 1% 8% 18
4 LETTERS IN MATHEMATICAL PHYSICS 34491 5% 2% 66
5 DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 33208 3% 3% 40
6 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 21091 3% 3% 33
7 REPORTS ON MATHEMATICAL PHYSICS 15087 2% 2% 25
8 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 9263 2% 2% 21
9 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 6519 4% 1% 47
10 JOURNAL OF LIE THEORY 5630 1% 2% 13

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 LIE ALGEBROIDS 2986390 13% 76% 155 Search LIE+ALGEBROIDS Search LIE+ALGEBROIDS
2 COURANT ALGEBROID 986478 3% 95% 41 Search COURANT+ALGEBROID Search COURANT+ALGEBROID
3 DIRAC STRUCTURES 843805 4% 63% 53 Search DIRAC+STRUCTURES Search DIRAC+STRUCTURES
4 LIE GROUPOIDS 766891 4% 62% 49 Search LIE+GROUPOIDS Search LIE+GROUPOIDS
5 LIE BIALGEBROID 455476 2% 95% 19 Search LIE+BIALGEBROID Search LIE+BIALGEBROID
6 SYMPLECTIC GROUPOIDS 420564 2% 83% 20 Search SYMPLECTIC+GROUPOIDS Search SYMPLECTIC+GROUPOIDS
7 POISSON MANIFOLDS 411216 3% 44% 37 Search POISSON+MANIFOLDS Search POISSON+MANIFOLDS
8 GENERALIZED COMPLEX STRUCTURE 370930 2% 70% 21 Search GENERALIZED+COMPLEX+STRUCTURE Search GENERALIZED+COMPLEX+STRUCTURE
9 COURANT BRACKET 328045 1% 100% 13 Search COURANT+BRACKET Search COURANT+BRACKET
10 JACOBI MANIFOLDS 277576 1% 100% 11 Search JACOBI+MANIFOLDS Search JACOBI+MANIFOLDS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 KOSMANN-SCHWARZBACH, Y , (2008) POISSON MANIFOLDS, LIE ALGEBROIDS, MODULAR CLASSES: A SURVEY.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 4. ISSUE . P. - 48 79% 18
2 GRABOWSKI, J , (2014) MODULAR CLASSES REVISITED.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 11. ISSUE 9. P. - 32 94% 0
3 MACKENZIE, KCH , (2011) EHRESMANN DOUBLES AND DRINFEL'D DOUBLES FOR LIE ALGEBROIDS AND LIE BIALGEBROIDS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 658. ISSUE . P. 193 -245 29 97% 9
4 LEAN, MJ , STIENON, M , XU, P , (2016) GLANON GROUPOIDS.MATHEMATISCHE ANNALEN. VOL. 364. ISSUE 1-2. P. 485 -518 25 100% 0
5 IGLESIAS-PONTE, D , LAURENT-GENGOUX, C , XU, P , (2012) UNIVERSAL LIFTING THEOREM AND QUASI-POISSON GROUPOIDS.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. VOL. 14. ISSUE 3. P. 681-731 27 96% 1
6 LI-BLAND, D , (2014) PSEUDO-DIRAC STRUCTURES.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 25. ISSUE 5. P. 1054 -1101 26 93% 0
7 GRABOWSKI, J , (2013) BRACKETS.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 10. ISSUE 8. P. - 34 69% 5
8 POPESCU, P , (2014) POISSON STRUCTURES ON ALMOST COMPLEX LIE ALGEBROIDS.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 11. ISSUE 8. P. - 25 93% 1
9 BRUCE, AJ , GRABOWSKA, K , GRABOWSKI, J , (2015) GRADED BUNDLES IN THE CATEGORY OF LIE GROU.POIDS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 11. ISSUE . P. - 25 89% 0
10 ALEKSEEV, A , MEINRENKEN, E , (2016) LINEARIZATION OF POISSON LIE GROUP STRUCTURES.JOURNAL OF SYMPLECTIC GEOMETRY. VOL. 14. ISSUE 1. P. 227 -267 24 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 27717 DYNAMICAL YANG BAXTER EQUATION//POISSON LIE SYMMETRY//QUASI FROBENIUS LIE ALGEBRA
2 12197 DEFORMATION QUANTIZATION//STAR PRODUCT//LETTERS IN MATHEMATICAL PHYSICS
3 16652 TWISTED K THEORY//GERBE//DIRAC COHOMOLOGY
4 9465 VARIATIONAL SEQUENCE//HELMHOLTZ CONDITIONS//POINCARE CARTAN FORM
5 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
6 11264 NONHOLONOMIC MECHANICS//REGULAR & CHAOTIC DYNAMICS//SPHERICAL ROBOT
7 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
8 7222 SOLVMANIFOLD//TWISTOR SPACES//MATEMAT SIMION STOILOW
9 22809 PORT HAMILTONIAN SYSTEMS//PCH SYSTEM//GENERALIZED HAMILTONIAN REALIZATION
10 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA

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