Degenerate Representations of the Symplectic Groups. I. The Compact Group Sp(n)
The degenerate, irreducible, unitary representations of the compact group Sp(n), characterized by one and two invariant numbers, are considered. The explicit expressions for the basis functions spanning the corresponding representation spaces and the decomposition with respect to the maximal subgrou...
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| Veröffentlicht in: | J. Math. Phys. (N. Y.), 9: 1188-1201(Aug. 1968) 9: 1188-1201(Aug. 1968), 1968-01, Vol.9 (8), p.1188-1201 |
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| container_title | J. Math. Phys. (N. Y.), 9: 1188-1201(Aug. 1968) |
| container_volume | 9 |
| creator | Pajas, P. Rączka, R. |
| description | The degenerate, irreducible, unitary representations of the compact group Sp(n), characterized by one and two invariant numbers, are considered. The explicit expressions for the basis functions spanning the corresponding representation spaces and the decomposition with respect to the maximal subgroup are given. |
| doi_str_mv | 10.1063/1.1664699 |
| format | Article |
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I. The Compact Group Sp(n)</title><title>J. Math. Phys. (N. Y.), 9: 1188-1201(Aug. 1968)</title><description>The degenerate, irreducible, unitary representations of the compact group Sp(n), characterized by one and two invariant numbers, are considered. The explicit expressions for the basis functions spanning the corresponding representation spaces and the decomposition with respect to the maximal subgroup are given.</description><subject>ELEMENTARY PARTICLES</subject><subject>ELEMENTARY PARTICLES/symmetry for, degenerate representations of symplectic Sp(n)</subject><subject>GROUP THEORY</subject><subject>N34310 -Physics (High Energy)-Particle Invariance Principles & Symmetry-General</subject><subject>SP GROUP</subject><subject>SYMMETRY GROUPS/Sp(n), degenerate representations of</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1968</creationdate><recordtype>article</recordtype><recordid>eNp90F1LwzAUBuAgCs7phf8geOWE1iRN2uRSps7BYODmdUjz4SpbU5Io7N_bWdELwasD5zy8HF4ALjHKMSqLW5zjsqSlEEdghBEXWVUyfgxGCBGSEcr5KTiL8Q0hjDmlI7C8t6-2tUElC59tF2y0bVKp8W2E3sG0sXC133Vbq1Oj4Sz49y7mcJ7DdX-Z-l2ndBrWcNVdt5NzcOLUNtqL7zkGL48P6-lTtljO5tO7RaYLQlNGkVJG1TXhplYlYVg4VvOiMkxpgq0pnHWaF4woZksjqMCKMWdELYxAuGLFGFwNuT6mRkbdJKs32rdt_6ikVLCKVj2aDEgHH2OwTnah2amwlxjJQ10Sy--6ensz2EPWVwE_-MOHXyg74_7Df5M_AQvbeDg</recordid><startdate>19680101</startdate><enddate>19680101</enddate><creator>Pajas, P.</creator><creator>Rączka, R.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19680101</creationdate><title>Degenerate Representations of the Symplectic Groups. 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The Compact Group Sp(n)</title><author>Pajas, P. ; Rączka, R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c324t-40aadabb28dba62519f5b837d5ac21ed3fefc8352a5e6d9491a55fd9b9d901753</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1968</creationdate><topic>ELEMENTARY PARTICLES</topic><topic>ELEMENTARY PARTICLES/symmetry for, degenerate representations of symplectic Sp(n)</topic><topic>GROUP THEORY</topic><topic>N34310 -Physics (High Energy)-Particle Invariance Principles & Symmetry-General</topic><topic>SP GROUP</topic><topic>SYMMETRY GROUPS/Sp(n), degenerate representations of</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pajas, P.</creatorcontrib><creatorcontrib>Rączka, R.</creatorcontrib><creatorcontrib>International Atomic Energy Agency, Trieste, Italy</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>J. Math. Phys. (N. Y.), 9: 1188-1201(Aug. 1968)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pajas, P.</au><au>Rączka, R.</au><aucorp>International Atomic Energy Agency, Trieste, Italy</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Degenerate Representations of the Symplectic Groups. I. The Compact Group Sp(n)</atitle><jtitle>J. Math. Phys. (N. Y.), 9: 1188-1201(Aug. 1968)</jtitle><date>1968-01-01</date><risdate>1968</risdate><volume>9</volume><issue>8</issue><spage>1188</spage><epage>1201</epage><pages>1188-1201</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>The degenerate, irreducible, unitary representations of the compact group Sp(n), characterized by one and two invariant numbers, are considered. The explicit expressions for the basis functions spanning the corresponding representation spaces and the decomposition with respect to the maximal subgroup are given.</abstract><doi>10.1063/1.1664699</doi><tpages>14</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | J. Math. Phys. (N. Y.), 9: 1188-1201(Aug. 1968), 1968-01, Vol.9 (8), p.1188-1201 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_1664699 |
| source | AIP Digital Archive |
| subjects | ELEMENTARY PARTICLES ELEMENTARY PARTICLES/symmetry for, degenerate representations of symplectic Sp(n) GROUP THEORY N34310 -Physics (High Energy)-Particle Invariance Principles & Symmetry-General SP GROUP SYMMETRY GROUPS/Sp(n), degenerate representations of |
| title | Degenerate Representations of the Symplectic Groups. I. The Compact Group Sp(n) |
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