Matches in SemOpenAlex for { <https://semopenalex.org/work/W1544681560> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W1544681560 abstract "Consider the example of the relationship of the group O(3) of rotations in 3-space to the special unitary group SU(2). Given other unitary groups, what transformations can we find? In this paper we describe a method of constructing transformations in an N-squared dimensional manifold based on the properties of the unitary group U(N). With N = 2, the method gives the familiar rotations, boosts, translations and scale transformations of four dimensional spacetime. In the language of spacetime now applied for any N, we show that rotations preserve distances and times. There is a scale-changing transformation. For N more than 2, boosts do not preserve generalized spacetime intervals, but each N-squared dimensional manifold contains a 3+1 dimensional subspace with invariant spacetime intervals. That each manifold has a four dimensional spacetime subspace correlates with the property of U(N) that U(2) is a subgroup." @default.
- W1544681560 created "2016-06-24" @default.
- W1544681560 creator A5069411776 @default.
- W1544681560 date "2011-03-08" @default.
- W1544681560 modified "2023-09-27" @default.
- W1544681560 title "U(N) Based Transformations in N-Squared Dimensions" @default.
- W1544681560 cites W152020747 @default.
- W1544681560 cites W1615679567 @default.
- W1544681560 cites W1972764567 @default.
- W1544681560 cites W1982967959 @default.
- W1544681560 cites W2037110414 @default.
- W1544681560 cites W3004121687 @default.
- W1544681560 cites W3004239172 @default.
- W1544681560 hasPublicationYear "2011" @default.
- W1544681560 type Work @default.
- W1544681560 sameAs 1544681560 @default.
- W1544681560 citedByCount "0" @default.
- W1544681560 crossrefType "posted-content" @default.
- W1544681560 hasAuthorship W1544681560A5069411776 @default.
- W1544681560 hasConcept C121332964 @default.
- W1544681560 hasConcept C12362212 @default.
- W1544681560 hasConcept C127413603 @default.
- W1544681560 hasConcept C130187892 @default.
- W1544681560 hasConcept C134306372 @default.
- W1544681560 hasConcept C17744445 @default.
- W1544681560 hasConcept C190470478 @default.
- W1544681560 hasConcept C199539241 @default.
- W1544681560 hasConcept C202444582 @default.
- W1544681560 hasConcept C2781311116 @default.
- W1544681560 hasConcept C32834561 @default.
- W1544681560 hasConcept C33923547 @default.
- W1544681560 hasConcept C37914503 @default.
- W1544681560 hasConcept C529865628 @default.
- W1544681560 hasConcept C62520636 @default.
- W1544681560 hasConcept C67820243 @default.
- W1544681560 hasConcept C78519656 @default.
- W1544681560 hasConcept C99072794 @default.
- W1544681560 hasConceptScore W1544681560C121332964 @default.
- W1544681560 hasConceptScore W1544681560C12362212 @default.
- W1544681560 hasConceptScore W1544681560C127413603 @default.
- W1544681560 hasConceptScore W1544681560C130187892 @default.
- W1544681560 hasConceptScore W1544681560C134306372 @default.
- W1544681560 hasConceptScore W1544681560C17744445 @default.
- W1544681560 hasConceptScore W1544681560C190470478 @default.
- W1544681560 hasConceptScore W1544681560C199539241 @default.
- W1544681560 hasConceptScore W1544681560C202444582 @default.
- W1544681560 hasConceptScore W1544681560C2781311116 @default.
- W1544681560 hasConceptScore W1544681560C32834561 @default.
- W1544681560 hasConceptScore W1544681560C33923547 @default.
- W1544681560 hasConceptScore W1544681560C37914503 @default.
- W1544681560 hasConceptScore W1544681560C529865628 @default.
- W1544681560 hasConceptScore W1544681560C62520636 @default.
- W1544681560 hasConceptScore W1544681560C67820243 @default.
- W1544681560 hasConceptScore W1544681560C78519656 @default.
- W1544681560 hasConceptScore W1544681560C99072794 @default.
- W1544681560 hasLocation W15446815601 @default.
- W1544681560 hasOpenAccess W1544681560 @default.
- W1544681560 hasPrimaryLocation W15446815601 @default.
- W1544681560 hasRelatedWork W113323980 @default.
- W1544681560 hasRelatedWork W1494411152 @default.
- W1544681560 hasRelatedWork W1506293899 @default.
- W1544681560 hasRelatedWork W1566945868 @default.
- W1544681560 hasRelatedWork W1621264367 @default.
- W1544681560 hasRelatedWork W1972606858 @default.
- W1544681560 hasRelatedWork W2010544901 @default.
- W1544681560 hasRelatedWork W2050243631 @default.
- W1544681560 hasRelatedWork W2082925002 @default.
- W1544681560 hasRelatedWork W2103729724 @default.
- W1544681560 hasRelatedWork W2137153479 @default.
- W1544681560 hasRelatedWork W2142128481 @default.
- W1544681560 hasRelatedWork W2146018262 @default.
- W1544681560 hasRelatedWork W2266585360 @default.
- W1544681560 hasRelatedWork W255050252 @default.
- W1544681560 hasRelatedWork W2765393134 @default.
- W1544681560 hasRelatedWork W2811201236 @default.
- W1544681560 hasRelatedWork W3034157340 @default.
- W1544681560 hasRelatedWork W3105071345 @default.
- W1544681560 hasRelatedWork W2336891228 @default.
- W1544681560 isParatext "false" @default.
- W1544681560 isRetracted "false" @default.
- W1544681560 magId "1544681560" @default.
- W1544681560 workType "article" @default.