Unitary group

In mathematics, the unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation that of matrix multiplication. The unitary group is a subgroup of the general linear group GL(n, C). Hyperorthogonal group is an archaic name for the unitary group, especially over finite fields.

In the simple case n = 1, the group U(1) corresponds to the circle group, consisting of all complex numbers with absolute value 1 under multiplication. All the unitary groups contain copies of this group.

The unitary group U(n) is a real Lie group of dimension n2. The Lie algebra of U(n) consists of n × n skew-Hermitian matrices, with the Lie bracket given by the commutator.

The general unitary group (also called the group of unitary similitudes) consists of all matrices A such that A∗A is a nonzero multiple of the identity matrix, and is just the product of the unitary group with the group of all positive multiples of the identity matrix.

Properties

Since the determinant of a unitary matrix is a complex number with norm 1, the determinant gives a group homomorphism

Loading... please wait...
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Unitary_group

U2 (disambiguation)

U2 is an Irish rock band.

U2 or U-2 may also refer to:

Military

  • Lockheed U-2, a U.S. reconnaissance aircraft
  • Polikarpov U-2, a Soviet biplane
  • German submarine U-2, one of several German submarines

    • Railway

  • U2 (Berlin U-Bahn) line on the Berlin U-Bahn
  • Siemens-Duewag U2, a light rail vehicle
  • U2, a line on the Vienna U-Bahn
  • U2, a line on the Frankfurt U-Bahn
  • U2, a line on the Hamburg U-Bahn
  • U2, a line on the Munich U-Bahn
  • U2, a line on the Nuremberg U-Bahn
  • U2 (Vienna U-Bahn), of the Vienna U-Bahn system

    • Other uses

  • U2, a Transport for London bus route from Uxbridge to Brunel University
  • U2 spliceosomal RNA, a component of the spliceosome
  • U2 haplogroup, a human mitochondrial DNA lineage.
  • Ultima II: The Revenge of the Enchantress, a 1982 video game
  • Uncharted 2: Among Thieves, a 2009 video game for the PlayStation 3
  • U2 (EP), an EP by Negativland
  • U2 Kannada Music TV Channel, a Kannada-language television channel
  • U2 Clothing, a casual-wear brand
  • Rocket U2, UniVerse and UniData database systems
    • Read more
    This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/U2_(disambiguation)

    SM U-2 (Germany)

    SM U-2 was a German U-boat built for the Imperial German Navy. Only one of the type, sometimes called German Type U 2 submarine, was built. U-2 was ordered from Kaiserliche Werft of Danzig on 4 March 1906, launched on 18 June 1908, and commissioned into the Imperial German Navy on 18 July 1908. She conducted no war patrols and spent World War I as a training platform.

    After Germany's surrender, she was decommissioned on 19 February 1919 and sold for shipbreaking to Stinnes on 3 February 1920.

    Citations

    References

  • Gröner, Erich; Jung, Dieter; Maass, Martin (1991). U-boats and Mine Warfare Vessels. German Warships 1815–1945 2. Translated by Thomas, Keith; Magowan, Rachel (London: Conway Maritime Press). ISBN 0-85177-593-4. 
  • Rössler, Eberhard (1985). U-Bootbau bis Ende des 1. Weltkriegs, Konstruktionen für das Ausland und die Jahre 1935-1945. Die deutschen U-Boote und ihre Werften (in German) I (Koblenz: Bernard & Graefe). ISBN 3-7637-5213-7. 
  • Robert C. Stern. Battle Beneath the Waves: U-boats at War, Cassell Military Paperbacks, 2002. ISBN 0-304-36228-X
    • Read more
    This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/SM_U-2_(Germany)

    Podcasts:

    Email this Page Play all in Full Screen Show More Related Videos
    PLAYLIST TIME:

    My Bad

    by: I15

    [I15:]
    Uh check this out ma,
    Look I didn't mean to hurt you,
    But I thought we had an understanding about how it's gonna be,
    You know, (Yeaah Mann!)
    You roll through or I roll through, (F to the A-B)
    And we just do what we do,
    You know what I'm saying, (I-15)
    I ain't looking for no relationship,
    But I'm goin ahead let my boy Fab holla at you...
    [Fabolous:]
    Yeah, this is real talk,
    I told you there was others,
    Now we go to war like soldiers with each other,
    I'm trying to let it go not hold you like a lover,
    See I'm simply P-I-M-P,
    So I gotta stable-a chicks,
    Unable to pick,
    A babe I can lick out,
    And I be labelled a trick,
    If you down you can roll and if you not you can stroll,
    It's just that easy,
    When F-A-B's here...
    [I15:]
    Girl you got it twisted,
    You already know how I get down,
    Now you out here trippin',
    On some sh*t that we already talked about,
    I just want to hit it,
    And you said that was cool with you,
    Now you here crying to me,
    Saying you want to be with a player like me,
    That ain't cool...
    [Chorus: I15]
    My bad, didn't mean you to make you want it like that,
    And I hang up, and you call me right back,
    It's like you don't even know how to act, (What's going on...)
    My bad, baby girl we barely even friends,
    I just like to smash it now and then,
    Now you got me scared to hit it again,
    [I15:]
    Now I don't mean to hurt you,
    But it's not like you didn't know,
    From the beginning,
    Now you saying that you can't stand to be without me,
    Now girl you talking crazy,
    I'm not trying to deal with you,
    Gonna keep it real with you,
    Shorty I don't want to be with you...
    [Chorus: I15]
    My bad, didn't mean you to make you want it like that,
    And I hang up, and you call me right back, (Back...)
    It's like you don't even know how to act, (What's going on...)
    My bad, baby girl we barely even friends, (Friends...)
    I just like to smash it now and then,
    Now you got me scared to hit it again, (Yeah...)
    [Fabolous:]
    Now you know I come through every now and then,
    To see how you been couple of thou' to spend,
    But you knows how it goes,
    Girls act like you suppose to propose... After a month,
    But I choose to refuse,
    I'm the kind of the man that do's what I choose,
    Whenever I want,
    And it's never to front,
    It's just to let you know,
    It's cheaper to keep her,
    I'll still will let you go, girl...
    [I15:]
    I've lost my patience,
    With these ultimatums,
    Tryin' to lock me down like incarceration,
    I don't cuff 'em when I grab 'em,
    I thug them with the passion,
    Still running from the last one,
    They tugging on my ass clip,
    I don't what it is, I'm cool on that "Might Be" tip,
    I ain't Damon, I'm too young for a wife and kids,
    I kick it "if we", like Vivica and 50,
    Like Fab said simply, we P-I-M-P...
    [Chorus x2: I15]
    My bad, didn't mean you to make you want it like that,
    And I hang up, and you call me right back,
    It's like you don't even know how to act,
    My bad, baby girl we barely even friends,
    I just like to smash it now and then,




    ×
    ×
    ×
    ×