Class information for:
Level 1: INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21486 417 19.9 25%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
2045 2             DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA 5359
21486 1                   INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP 417

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 INFINITE DIMENSIONAL LIE GROUP authKW 1855018 9% 67% 38
2 FRECHET MANIFOLD authKW 426034 2% 73% 8
3 REGULAR LIE GROUP authKW 376586 1% 86% 6
4 SILVA SPACE authKW 292902 1% 100% 4
5 TOP SPACE authKW 292902 1% 100% 4
6 BANACH MANIFOLD authKW 268478 3% 33% 11
7 CONVENIENT DIFFERENTIAL CALCULUS authKW 219676 1% 100% 3
8 MAPPING GROUP authKW 219676 1% 100% 3
9 NON ARCHIMEDIAN ANALYSIS authKW 219676 1% 100% 3
10 REGULARITY OF LIE GROUPS authKW 219676 1% 100% 3

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 14287 79% 0% 329
2 Mathematics, Applied 1402 24% 0% 99
3 Physics, Mathematical 893 13% 0% 56
4 Physics, Particles & Fields 10 3% 0% 11
5 Physics, Multidisciplinary 2 3% 0% 12
6 Astronomy & Astrophysics 2 2% 0% 10
7 Mechanics 0 1% 0% 5
8 Multidisciplinary Sciences -0 0% 0% 1
9 Computer Science, Theory & Methods -1 0% 0% 1
10 Nuclear Science & Technology -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 ECON FINANCIERA CONTABILIDAD 1 219670 1% 50% 6
2 FB MATH AG 5 94144 1% 43% 3
3 ABT WAHRSHEINLICHKEITSHEORIE MATH STAT 73225 0% 100% 1
4 FAK ELEKT INFORMAT MATH 73225 0% 100% 1
5 FB MATH AG 73225 0% 100% 1
6 FM MATH AG 5 73225 0% 100% 1
7 INSITUTO FIS LICADA 73225 0% 100% 1
8 MATH AG LIE GRUPPEN 73225 0% 100% 1
9 MATH AG5 73225 0% 100% 1
10 MATH BIALYSTOK BRANCH 73225 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 LIE THEORY 38807 5% 3% 20
2 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 14396 2% 3% 7
3 KYOTO JOURNAL OF MATHEMATICS 8199 1% 2% 5
4 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 6799 3% 1% 11
5 ANNALS OF GLOBAL ANALYSIS AND GEOMETRY 6692 2% 1% 9
6 JOURNAL OF FUNCTIONAL ANALYSIS 5437 5% 0% 22
7 JOURNAL OF GEOMETRY AND PHYSICS 4111 3% 0% 12
8 DISSERTATIONES MATHEMATICAE 3800 0% 3% 2
9 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 2201 1% 1% 6
10 EXPOSITIONES MATHEMATICAE 2141 1% 1% 3

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 INFINITE DIMENSIONAL LIE GROUP 1855018 9% 67% 38 Search INFINITE+DIMENSIONAL+LIE+GROUP Search INFINITE+DIMENSIONAL+LIE+GROUP
2 FRECHET MANIFOLD 426034 2% 73% 8 Search FRECHET+MANIFOLD Search FRECHET+MANIFOLD
3 REGULAR LIE GROUP 376586 1% 86% 6 Search REGULAR+LIE+GROUP Search REGULAR+LIE+GROUP
4 SILVA SPACE 292902 1% 100% 4 Search SILVA+SPACE Search SILVA+SPACE
5 TOP SPACE 292902 1% 100% 4 Search TOP+SPACE Search TOP+SPACE
6 BANACH MANIFOLD 268478 3% 33% 11 Search BANACH+MANIFOLD Search BANACH+MANIFOLD
7 CONVENIENT DIFFERENTIAL CALCULUS 219676 1% 100% 3 Search CONVENIENT+DIFFERENTIAL+CALCULUS Search CONVENIENT+DIFFERENTIAL+CALCULUS
8 MAPPING GROUP 219676 1% 100% 3 Search MAPPING+GROUP Search MAPPING+GROUP
9 NON ARCHIMEDIAN ANALYSIS 219676 1% 100% 3 Search NON+ARCHIMEDIAN+ANALYSIS Search NON+ARCHIMEDIAN+ANALYSIS
10 REGULARITY OF LIE GROUPS 219676 1% 100% 3 Search REGULARITY+OF+LIE+GROUPS Search REGULARITY+OF+LIE+GROUPS

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 NEEB, KH , (2006) TOWARDS A LIE THEORY OF LOCALLY CONVEX GROUPS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 1. ISSUE 2. P. 291 -468 38 47% 59
2 GLOCKNER, H , (2007) DIRECT LIMITS OF INFINITE-DIMENSIONAL LIE GROUPS COMPARED TO DIRECT LIMITS IN RELATED CATEGORIES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 245. ISSUE 1. P. 19-61 18 95% 7
3 MERIGON, S , NEEB, KH , OLAFSSON, G , (2015) INTEGRABILITY OF UNITARY REPRESENTATIONS ON REPRODUCING KERNEL SPACES.REPRESENTATION THEORY. VOL. 19. ISSUE . P. 24 -55 13 100% 0
4 GLOCKNER, H , (2013) CONTINUITY OF LF-ALGEBRA REPRESENTATIONS ASSOCIATED TO REPRESENTATIONS OF LIE GROUPS.KYOTO JOURNAL OF MATHEMATICS. VOL. 53. ISSUE 3. P. 567 -595 15 88% 1
5 NEEB, KH , OLAFSSON, G , (2014) REFLECTION POSITIVITY AND CONFORMAL SYMMETRY.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 4. P. 2174 -2224 13 76% 3
6 DAHMEN, R , (2014) REGULARITY IN MILNOR'S SENSE FOR ASCENDING UNIONS OF BANACH-LIE GROUPS.JOURNAL OF LIE THEORY. VOL. 24. ISSUE 2. P. 545 -560 9 100% 0
7 ALZAAREER, H , SCHMEDING, A , (2015) DIFFERENTIABLE MAPPINGS ON PRODUCTS WITH DIFFERENT DEGREES OF DIFFERENTIABILITY IN THE TWO FACTORS.EXPOSITIONES MATHEMATICAE. VOL. 33. ISSUE 2. P. 184 -222 9 90% 3
8 GLOCKNER, H , (2008) SOLUTIONS TO OPEN PROBLEMS IN NEEB'S RECENT SURVEY ON INFINITE-DIMENSIONAL LIE GROUPS.GEOMETRIAE DEDICATA. VOL. 135. ISSUE 1. P. 71 -86 10 100% 0
9 SCHMEDING, A , WOCKEL, C , (2016) (RE)CONSTRUCTING LIE GROUPOIDS FROM THEIR BISECTIONS AND APPLICATIONS TO PREQUANTISATION.DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. VOL. 49. ISSUE . P. 227 -276 11 73% 0
10 WALTER, B , (2012) WEIGHTED DIFFEOMORPHISM GROUPS OF BANACH SPACES AND WEIGHTED MAPPING GROUPS.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 484. P. 6 -+ 8 100% 6

Classes with closest relation at Level 1


Rank Class id link
1 16652 TWISTED K THEORY//GERBE//DIRAC COHOMOLOGY
2 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
3 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY
4 20713 ALGEBRA GEOMETRIA TOPOL//INNER IDEAL//SEMIPRIME ALGEBRA
5 21408 SUPERMANIFOLDS//LIE SUPERGROUP//ALGEBRAIC SUPERGROUPS
6 23844 SUBNORMS//CONVENIENT SETTING//SUBMODULI
7 22718 FOR UNGSZENTRUM BIBOS//BIBOS//EUCLIDEAN GIBBS STATES
8 32058 SYST VNIISI//LOCALLY BOUNDED MAP//PURE PSEUDOREPRESENTATION
9 27268 KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS
10 24414 NON CANONICAL QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1//DRIENFELD SOKOLOV EQUATION

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