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Coefficients of an algebra over a field
algebra admits a basis with rational structure constants: this is Malcev's criterion. Not all nilpotent Lie groups admit lattices; for more details, see
Structure_constants
by J. B. Roberts) Hahn–Mal'cev–Neumann series Malcev algebra Mal'cev's criterion Malcev Lie algebra Malcev-admissible algebra Mostowski, Andrzej (1969)
Anatoly_Maltsev
Cartan calculus Cartan connection, Cartan connection applications Cartan's criterion Cartan decomposition Cartan's equivalence method Cartan formalism (physics)
List of things named after Élie Cartan
List_of_things_named_after_Élie_Cartan
Correspondence between topics in Lie theory
G{\text{ for all }}t\in \mathbb {R} \right\}.} For example, one can use the criterion to establish the correspondence for classical compact groups (cf. the
Lie group–Lie algebra correspondence
Lie_group–Lie_algebra_correspondence
a Gelfand pair. More generally the same argument gives the following criterion of Gelfand for (G,K) to be a Gelfand pair: G is a unimodular locally compact
Zonal_spherical_function
MALCEVS CRITERION
MALCEVS CRITERION
Boy/Male
Indian
Quran Sharif, Criterion
Surname or Lastname
French
French : from a pet form of the personal name Malo (see Malo 1).French : variant of Malette.French, Catalan and English : from French, English, and Catalan mallet ‘hammer’, Old French ma(i)let, diminutive of ma(i)l (Latin malleus) either a metonymic occupational name for a smith, or possibly a nickname for a fearsome warrior.French and English : nickname for an unlucky person, from Old French maleit ‘accursed’ (Latin maledictus, the opposite of benedictus ‘blessed’).English : from the medieval female personal name Malet, a diminutive of Mal(le) (see Mall).English : variant of Mallard 1.
Boy/Male
Muslim
Quran Sharif, Criterion
Biblical
my king, kingdom, or counselor
Surname or Lastname
English
English : variant of Male.
Boy/Male
Biblical
My king; kingdom; or counselor.
Boy/Male
Indian
Quran Sharif, Criterion
Boy/Male
Muslim
Quran Sharif, Criterion
Surname or Lastname
English and German
English and German : from the female personal name Imma, Emma or (in the case of the German name) from the male equivalent, Immo, short forms of various Germanic personal names formed with irmin, ermen ‘whole’, ‘entire’ as the first element (also the name of a Germanic deity). In Old English Imma, Emma was borne by both males and females. Compare Imber, but in Middle English, under Norman influence, it came to be used almost exclusively for women, being taken as a short form of Ermingard.
MALCEVS CRITERION
MALCEVS CRITERION
Girl/Female
Indian, Telugu
Unexpressed; Open
Girl/Female
Arabic
Kind Woman
Surname or Lastname
English
English : variant of Mead 1.
Boy/Male
Tamil
Jhinook | ஜà¯à®¹à¯€à®£à¯‚க
Sea shell, Oyster
Boy/Male
Indian, Punjabi, Sikh
God of Lotus
Boy/Male
Arabic, French, Hindu, Indian, Muslim
Falcon
Boy/Male
Indian, Kannada, Tamil
Youthful
Boy/Male
Indian, Sanskrit
Rich in Herds
Boy/Male
African, Hindu, Indian, Swahili
King; Owner
Girl/Female
Tamil
Poorvika | பூரà¯à®µà®¿à®•à®¾Â
Orient, Formerly
MALCEVS CRITERION
MALCEVS CRITERION
MALCEVS CRITERION
MALCEVS CRITERION
MALCEVS CRITERION
v. i.
To copulate; said of birds, esp. the males.
n.
The outermost of the three small auditory bones, ossicles; the hammer. It is attached to the tympanic membrane by a long process, the handle or manubrium. See Illust. of Far.
v. t.
Consisting of males; as, a male choir.
n.
One of the hard lateral pieces of the mastax of Rotifera. See Mastax.
pl.
of Calx
n.
A genus of bivalve shells; the hammer shell.
a.
Pairing with several males; -- said of certain fishes of which several males accompany each female during spawning.
n.
The nobility; persons of noble rank collectively, including males and females.
a.
Pertaining to, or characterized by, polyandry; mating with several males.
n.
Consanguinity by a line of males only, as distinguished from cognation.
a.
Living in communities consisting of males, females, and neuters, as do ants and most bees.
n.
The malleus.
n. pl.
See Calx.
n.
An old game played with malls or mallets and balls. See Pall-mall.
a.
Having females very unlike the males in form and structure; -- as certain insects, the males of which are winged, and the females wingless.
a.
Producing males from unfertilized eggs, as certain wasps and bees.
a.
Belonging to males; appropriated to, or used by, males.
pl.
of Malleus
a.
Pertaining to the malleus.
n.
A relative whose relationship can be traced exclusively through males.